Aptitude Overflow - Recent questions tagged speed-distance-time
https://aptitude.gateoverflow.in/tag/speed-distance-time
Powered by Question2AnswerCAT 2021 Set-3 | Quantitative Aptitude | Question: 9
https://aptitude.gateoverflow.in/8510/cat-2021-set-3-quantitative-aptitude-question-9
Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in $45 \; \text{minutes},$ Amal completes exactly $3$ more rounds than Mira. If they walk in opposite directions, then they meet for the first time exactly after $3 \; \text{minutes}.$ The number of rounds Mira walks in one hour isQuantitative Aptitudehttps://aptitude.gateoverflow.in/8510/cat-2021-set-3-quantitative-aptitude-question-9Thu, 20 Jan 2022 09:29:57 +0000CAT 2021 Set-2 | Quantitative Aptitude | Question: 17
https://aptitude.gateoverflow.in/8436/cat-2021-set-2-quantitative-aptitude-question-17
<p>Two trains $\text{A}$ and $\text{B}$ were moving in opposite directions, their speeds being in the ratio $5:3.$ The front end of $\text{A}$ crossed the rear end of $\text{B} \; 46 \; \text{seconds}$ after the front ends of the trains had crossed each other. It took another $69 \; \text{seconds}$ for the rear ends of the trains to cross each other. The ratio of length of train $\text{A}$ to that of train $\text{B}$ is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$2:3$</li>
<li>$2:1$</li>
<li>$3:2$</li>
<li>$5:3$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8436/cat-2021-set-2-quantitative-aptitude-question-17Thu, 20 Jan 2022 09:24:34 +0000CAT 2021 Set-1 | Quantitative Aptitude | Question: 18
https://aptitude.gateoverflow.in/8363/cat-2021-set-1-quantitative-aptitude-question-18
<p>Two trains cross each other in $14 \; \text{seconds}$ when running in opposite directions along parallel tracks. The faster train is $160 \; \text{m}$ long and crosses a lamp post in $12 \; \text{seconds}.$ If the speed of the other train is $6 \; \text{km/hr}$ less than the faster one, its length, in $\text{m},$ is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$190$</li>
<li>$192$</li>
<li>$184$</li>
<li>$180$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8363/cat-2021-set-1-quantitative-aptitude-question-18Wed, 19 Jan 2022 05:24:03 +0000CAT 2020 Set-3 | Question: 53
https://aptitude.gateoverflow.in/8125/cat-2020-set-3-question-53
<p>$\text{A}$ and $\text{B}$ are two railway stations $90 \; \text{km}$ apart. A train leaves $\text{A}$ at $9:00 \; \text{am},$ heading towards $\text{B}$ at a speed of $40 \; \text{km/hr}.$ Another train leaves $\text{B}$ at $10:30 \; \text{am},$ heading towards $\text{A}$ at a speed of $20 \; \text{km/hr}.$ The trains meet each other at </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$ 11:45 \; \text{am} $</li>
<li>$ 10:45 \; \text{am} $</li>
<li>$ 11:20 \; \text{am} $</li>
<li>$ 11:00 \; \text{am} $</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8125/cat-2020-set-3-question-53Fri, 17 Sep 2021 13:40:35 +0000CAT 2020 Set-3 | Question: 56
https://aptitude.gateoverflow.in/8122/cat-2020-set-3-question-56
<p>Vimla starts for office every day at $9 \; \text{am}$ and reaches exactly on time if she drives at her usual speed of $40 \; \text{km/hr}.$ She is late by $6 \; \text{minutes}$ if she drives at $35 \; \text{km/hr}.$ One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for $8 \; \text{minutes}.$ The speed, in $\text{km/hr},$ at which she should drive the remaining distance to reach office exactly on time is </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$29$</li>
<li>$27$</li>
<li>$28$</li>
<li>$26$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8122/cat-2020-set-3-question-56Fri, 17 Sep 2021 13:40:35 +0000CAT 2020 Set-3 | Question: 63
https://aptitude.gateoverflow.in/8115/cat-2020-set-3-question-63
<p>Anil, Sunil, and Ravi run along a circular path of length $3 \; \text{km},$ starting from the same point at the same time, and going in the clockwise direction. If they run at speed of $15 \; \text{km/hr}, 10 \; \text{km/hr},$ and $8 \; \text{km/hr},$ respectively, how much distance in $\text{km}$ will Ravi have run when Anil and Sunil meet again for the first time at the starting point $?$</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4.2$</li>
<li>$5.2$</li>
<li>$4.8$</li>
<li>$4.6$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8115/cat-2020-set-3-question-63Fri, 17 Sep 2021 13:40:34 +0000CAT 2020 Set-2 | Question: 53
https://aptitude.gateoverflow.in/8047/cat-2020-set-2-question-53
<p>In a car race, car $\text{A}$ beats car $\text{B}$ by $45 \; \text{km},$ car $\text{B}$ beats car $\text{C}$ by $50 \; \text{km},$ and car $\text{A}$ beats car $\text{C}$ by $90\;\text{km}.$ The distance $\text{(in km)}$ over which the race has been conducted is </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$500$</li>
<li>$475$</li>
<li>$550$</li>
<li>$450$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8047/cat-2020-set-2-question-53Fri, 17 Sep 2021 04:49:09 +0000CAT 2020 Set-2 | Question: 64
https://aptitude.gateoverflow.in/8036/cat-2020-set-2-question-64
<p>Two circular tracks $\text{T}1$ and $\text{T}2$ of radii $100 \; \text{m}$ and $20 \; \text{m},$ respectively touch at a point $\text{A}.$ Starting from $\text{A}$ at the same time, Ram and Rahim are walking on track $\text{T}1$ and track $\text{T}2$ at speeds $15 \; \text{km/hr}$ and $5 \; \text{km/hr}$ respectively. The number of full rounds that Ram will make before he meets Rahim again for the first time is </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4$</li>
<li>$3$</li>
<li>$2$</li>
<li>$5$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8036/cat-2020-set-2-question-64Fri, 17 Sep 2021 04:49:08 +0000CAT 2020 Set-2 | Question: 68
https://aptitude.gateoverflow.in/8032/cat-2020-set-2-question-68
<p>$\text{A}$ and $\text{B}$ are two points on a straight line. Ram runs from $\text{A}$ to $\text{B}$ while Rahim runs from $\text{B}$ to $\text{A}.$ After crossing each other, Ram and Rahim reach their destinations in one minute and four minutes, respectively. If they start at the same time, then the ratio of Ram’s speed to Rahim’s speed is </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$2$</li>
<li>$\sqrt{2}$</li>
<li>$2\sqrt{2}$</li>
<li>$\frac{1}{2}$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8032/cat-2020-set-2-question-68Fri, 17 Sep 2021 04:49:07 +0000CAT 2020 Set-2 | Question: 69
https://aptitude.gateoverflow.in/8031/cat-2020-set-2-question-69
<p>The distance from $\text{B}$ to $\text{C}$ is thrice that from $\text{A}$ to $\text{B}.$ Two trains travel from $\text{A}$ to $\text{C}$ via $\text{B}.$ The speed of train $2$ is double that of train $1$ while traveling from $\text{A}$ to $\text{B}$ and their speeds are interchanged while traveling from $\text{B}$ to $\text{C}.$ The ratio of the time taken by train $1$ to that taken by train $2$ in traveling from $\text{A}$ to $\text{C}$ is </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$1:4$</li>
<li>$7:5$</li>
<li>$5:7$</li>
<li>$4:1$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/8031/cat-2020-set-2-question-69Fri, 17 Sep 2021 04:49:07 +0000CAT 2020 Set-1 | Question: 56
https://aptitude.gateoverflow.in/7965/cat-2020-set-1-question-56
<p>Two persons are walking beside a railway track at respective speeds of $2$ and $4$ km per hour in the same direction. A train came from behind them and crossed them in $90$ and $100$ seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$87$</li>
<li>$82$</li>
<li>$75$</li>
<li>$78$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/7965/cat-2020-set-1-question-56Thu, 16 Sep 2021 02:16:32 +0000CAT 2020 Set-1 | Question: 62
https://aptitude.gateoverflow.in/7959/cat-2020-set-1-question-62
<p>A straight road connects points $\text{A}$ and $\text{B}$. Car $1$ travels from $\text{A}$ to $\text{B}$ and Car $2$ travels from $\text{B}$ to $\text{A}$, both leaving at the same time. After meeting each other, they take $45$ minutes and $20$ minutes, respectively, to complete their journeys. If Car $1$ travels at the speed of $60$ km/hr, then the speed of Car $2$, in km/hr, is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$90$</li>
<li>$100$</li>
<li>$80$</li>
<li>$70$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/7959/cat-2020-set-1-question-62Thu, 16 Sep 2021 02:16:32 +0000CAT 2020 Set-1 | Question: 65
https://aptitude.gateoverflow.in/7956/cat-2020-set-1-question-65
<p>Leaving home at the same time, Amal reaches office at $10:15$ am if he travels at $8$ km/hr, and at $9:40$ am if he travels at $15$ km/hr. Leaving home at $9:10$ am, at what speed, in km/hr, must he travel so as to reach office exactly at $10$ am?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$13$</li>
<li>$14$</li>
<li>$12$</li>
<li>$11$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/7956/cat-2020-set-1-question-65Thu, 16 Sep 2021 02:16:31 +0000CAT 2020 Set-1 | Question: 66
https://aptitude.gateoverflow.in/7955/cat-2020-set-1-question-66
<p>A train travelled at one$-$thirds of its usual speed, and hence reached the destination $30$ minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for $5$ minutes but then stopped for $4$ minutes for an emergency. The percentage by which the train must now increase its usual speed so as to reach the destination at the scheduled time, is nearest to</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$58$</li>
<li>$67$</li>
<li>$61$</li>
<li>$50$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/7955/cat-2020-set-1-question-66Thu, 16 Sep 2021 02:16:31 +0000NIELIT 2016 MAR Scientist D: 62
https://aptitude.gateoverflow.in/6921/nielit-2016-mar-scientist-d-62
<p>A man walks $10$ miles at an average rate of $2$ miles per hour and returns on a bicycle at an average rate of $10$ miles per hour. How long (to the nearest hour) does the entire trip take him?</p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$4$ hours</li>
<li>$5$ hours</li>
<li>$6$ hours</li>
<li>$7$ hours</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6921/nielit-2016-mar-scientist-d-62Fri, 03 Apr 2020 07:42:13 +0000NIELIT 2016 MAR Scientist D: 66
https://aptitude.gateoverflow.in/6917/nielit-2016-mar-scientist-d-66
<p>Two bicyclists travel in opposite directions. One travels $5$ miles per hour faster than the other. In $2$ hours they are $50$ miles apart. What is the rate of the faster bicyclist?</p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$11.25$ mph</li>
<li>$15$ mph</li>
<li>$20$ mph</li>
<li>$22.5$ mph</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6917/nielit-2016-mar-scientist-d-66Fri, 03 Apr 2020 07:42:13 +0000NIELIT 2019 Feb Scientist D - Section C: 5
https://aptitude.gateoverflow.in/6818/nielit-2019-feb-scientist-d-section-c-5
<p>A man travels $35$ km partly at $4$ $kmph$ and partly at $5$ $kmph$. If he covers the former distance at $5$ $kmph$ and the later distance at $4$ $kmph$, he could cover $2$ km more in the same time. The time taken to cover the whole distance at the original rate (in hours) is :</p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$4\frac{1}{2}$</li>
<li>$7$</li>
<li>$8$</li>
<li>$9$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6818/nielit-2019-feb-scientist-d-section-c-5Fri, 03 Apr 2020 02:55:47 +0000NIELIT 2016 MAR Scientist C - Section A: 5
https://aptitude.gateoverflow.in/6726/nielit-2016-mar-scientist-c-section-a-5
<p>A man walks at $5$ kmph for $6$ hr and at $4$ km/h for $12$ hr. His average speed is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4\frac{1}{3}$ km/h</li>
<li>$9\frac{2}{3}$ km/h</li>
<li>$9½$ km/h</li>
<li>$8$ km/h</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6726/nielit-2016-mar-scientist-c-section-a-5Thu, 02 Apr 2020 11:40:27 +0000NIELIT 2019 Feb Scientist C - Section D: 13
https://aptitude.gateoverflow.in/6673/nielit-2019-feb-scientist-c-section-d-13
<p>Two persons start walking on a road that diverge at an angle of $120^{\circ}$. If they walk at the rate of $3$km/h and $2$km/h respectively.</p>
<p><img alt="" src="https://aptitude.gateoverflow.in/?qa=blob&qa_blobid=2262074717318878752" width="380"></p>
<p>Find the distance between them after $4$hrs.</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4\sqrt{19}$ km</li>
<li>$5$ km</li>
<li>$7$ km</li>
<li>$8\sqrt{19}$ km</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6673/nielit-2019-feb-scientist-c-section-d-13Wed, 01 Apr 2020 17:26:55 +0000NIELIT 2019 Feb Scientist C - Section C: 26
https://aptitude.gateoverflow.in/6630/nielit-2019-feb-scientist-c-section-c-26
<p>On a scale of a map, $0.6$ cm represents $6.6$ km. If the distance between two points on the map is $80.5$ cm, the actual distance between these points is:</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$9$ km</li>
<li>$72.5$ km</li>
<li>$190.75$ km</li>
<li>$885.5$ km</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6630/nielit-2019-feb-scientist-c-section-c-26Wed, 01 Apr 2020 17:25:05 +0000NIELIT 2017 OCT Scientific Assistant A - Section A: 53
https://aptitude.gateoverflow.in/6512/nielit-2017-oct-scientific-assistant-a-section-a-53
<p>A car travels at an average of $50$ miles per hour for $2.5$ hours and then travels at a speed of $70$ miles per hour for $1.5$ hours. How far did the car travel in the entire $4$ hours?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$210$ miles</li>
<li>$230$ miles</li>
<li>$250$ miles</li>
<li>$260$ miles</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6512/nielit-2017-oct-scientific-assistant-a-section-a-53Wed, 01 Apr 2020 02:38:34 +0000NIELIT 2017 DEC Scientific Assistant A - Section A: 40
https://aptitude.gateoverflow.in/6465/nielit-2017-dec-scientific-assistant-a-section-a-40
<p>An hour after Aishwarya started from her college towards Ananya’s home, a distance of $53$ km, Ananya started from her home on the same road towards Aishwarya’s college. If Aishwarya’s speed was $4$ km per hour and Ananya’s was $3$ km per hour, how many km from Ananya’s home did the two meet?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$24$</li>
<li>$22$</li>
<li>$21$</li>
<li>$19.5$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6465/nielit-2017-dec-scientific-assistant-a-section-a-40Tue, 31 Mar 2020 16:51:45 +0000NIELIT 2016 DEC Scientist B - Section A: 42
https://aptitude.gateoverflow.in/6390/nielit-2016-dec-scientist-b-section-a-42
<p>A train started from Mumbai at $6.00$ A.M. On the next (second) station $1/3$ passengers got down and $96$ got in. On the next (third) station, $1/2$ of the total passengers present in the train, got down and $12$ came in. Now there were $248$ passengers in the train, when the train started from Mumbai, the number of passengers was:</p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$435$</li>
<li>$564$</li>
<li>$654$</li>
<li>$736$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6390/nielit-2016-dec-scientist-b-section-a-42Tue, 31 Mar 2020 01:38:42 +0000NIELIT 2016 DEC Scientist B - Section A: 51
https://aptitude.gateoverflow.in/6381/nielit-2016-dec-scientist-b-section-a-51
<p>A train starts at $7$ a.m. from $A$ towards $B$ with a speed of $50$ km/hr. Another train from $B$ starts at $8$ a.m. with a speed of $60$ km/hr towards $A$. Both of them meet at $10$ a.m. at $C$. The ratio of the distances $AC$ to $BC$ is :</p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$4:5$</li>
<li>$5:4$</li>
<li>$5:6$</li>
<li>$6:5$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6381/nielit-2016-dec-scientist-b-section-a-51Tue, 31 Mar 2020 01:38:40 +0000NIELIT 2016 DEC Scientist B - Section A: 50
https://aptitude.gateoverflow.in/6382/nielit-2016-dec-scientist-b-section-a-50
<p>$A$ can run $200$ m in $35$ seconds and $B$ in $38$ seconds. By what distance $A$ beats $B$?</p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$15$ m</li>
<li>$15\dfrac{2}{3}$ m</li>
<li>$15\dfrac{15}{19}$ m</li>
<li>$15\dfrac{4}{19}$ m</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6382/nielit-2016-dec-scientist-b-section-a-50Tue, 31 Mar 2020 01:38:40 +0000NIELIT 2017 July Scientist B - Section A: 2
https://aptitude.gateoverflow.in/6370/nielit-2017-july-scientist-b-section-a-2
<p>A train running at the speed of $60$ km/hr crosses a pole in $9$ seconds. What is the length of the train?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$120$ meters</li>
<li>$180$ meters</li>
<li>$324$ meters</li>
<li>$150$ meters</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6370/nielit-2017-july-scientist-b-section-a-2Mon, 30 Mar 2020 11:18:40 +0000NIELIT 2017 DEC Scientist B - Section A: 48
https://aptitude.gateoverflow.in/6264/nielit-2017-dec-scientist-b-section-a-48
<p>Mahira and Neelima started walking towards each other, simultaneously from Gandhi Nagar and Nehru Nagar respectively, which are $72$ miles apart. They met after $6$ hours. After their meeting, Mahira reduced her speed by $1$ mile/h and Neelima increased by $1$ mile/h. They arrived at Nehru Nagar and Gandhi Nagar respectively at the same time. Find their initial speeds : </p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$6.5$ miles/h and $7.5$ miles/h</li>
<li>$6$ miles/h and $7$ miles/h</li>
<li>$6.5$ miles/h and $5.5$ miles/h</li>
<li>$15.5$ miles/h and $9$ miles/h</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6264/nielit-2017-dec-scientist-b-section-a-48Mon, 30 Mar 2020 11:10:48 +0000CAT 2019 Set-2 | Question: 76
https://aptitude.gateoverflow.in/6176/cat-2019-set-2-question-76
John jogs on track $\text{A}$ at $6$ kmph and Mary jogs on track $\text{B}$ at $7.5$ kmph. The total length of tracks $\text{A}$ and $\text{B}$ is $325$ metres. While John makes $9$ rounds of track $\text{A}$, Mary makes $5$ rounds of track $\text{B}$. In how many seconds will Mary make one round of track $\text{A}$ ________Quantitative Aptitudehttps://aptitude.gateoverflow.in/6176/cat-2019-set-2-question-76Fri, 20 Mar 2020 07:16:44 +0000CAT 2019 Set-2 | Question: 74
https://aptitude.gateoverflow.in/6178/cat-2019-set-2-question-74
<p>A cyclist leaves $\text{A}$ at $10$ am and reaches $\text{B}$ at $11$ am. Starting from $10:01$ am, every minute a motor cycle leaves $\text{A}$ and moves towards $\text{B}$. Forty-five such motor cycles reach $\text{B}$ by $11$ am. All motor cycles have the same speed. If the cyclist had doubled his speed, how many motor cycles would have reached $\text{B}$ by the time the cyclist reached $\text{B}?$</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$23$</li>
<li>$20$</li>
<li>$15$</li>
<li>$22$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6178/cat-2019-set-2-question-74Fri, 20 Mar 2020 07:16:44 +0000CAT 2019 Set-2 | Question: 81
https://aptitude.gateoverflow.in/6171/cat-2019-set-2-question-81
<p>Two ants $\text{A}$ and $\text{B}$ start from a point $\text{P}$ on a circle at the same time, with $\text{A}$ moving clock-wise and $\text{B}$ moving anti-clockwise. They meet for the first time at $10:00$ am when $\text{A}$ has covered $60\%$ of the track. If $\text{A}$ returns to $\text{P}$ at $10:12$ am, then $\text{B}$ returns to $\text{P}$ at</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$10:25$am</li>
<li>$10:18$am</li>
<li>$10:27$am</li>
<li>$10:45$am</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6171/cat-2019-set-2-question-81Fri, 20 Mar 2020 07:16:43 +0000CAT 2018 Set-2 | Question: 71
https://aptitude.gateoverflow.in/6146/cat-2018-set-2-question-71
On a long stretch of east-west road, $\text{A}$ and $\text{B}$ are two points such that $\text{B}$ is $350$ km west of $\text{A}$. One car starts from $\text{A}$ and another from $\text{B}$ at the same time. If they move towards each other, then they meet after $1$ hour. If they both move towards east, then they meet in $7$ hrs. The difference between their speeds, in km per hour, is _______Quantitative Aptitudehttps://aptitude.gateoverflow.in/6146/cat-2018-set-2-question-71Fri, 20 Mar 2020 05:48:52 +0000CAT 2018 Set-2 | Question: 89
https://aptitude.gateoverflow.in/6128/cat-2018-set-2-question-89
The arithmetic mean of $x,y$ and $z$ is $80$, and that of $x,y,z,u$ and $v$ is $75$, where $u=\left (x+y \right)/2$ and $v=\left (y+z \right)/2$. If $x\geq z$, then the minimum possible value of $x$ is ____________Quantitative Aptitudehttps://aptitude.gateoverflow.in/6128/cat-2018-set-2-question-89Fri, 20 Mar 2020 05:48:49 +0000CAT 2018 Set-2 | Question: 88
https://aptitude.gateoverflow.in/6129/cat-2018-set-2-question-88
Points $\text{A}$ and $\text{B}$ are $150$ km apart. Cars $1$ and $2$ travel from $\text{A}$ to $\text{B}$, but car $2$ starts from $\text{A}$ when car $1$ is already $20$ km away from $\text{A}$. Each car travels at a speed of $100$ kmph for the first $50$ km, at $50$ kmph for the next $50$ km, and at $25$ kmph for the last $50$ km. The distance, in km, between car $2$ and $\text{B}$ when car $1$ reaches $\text{B}$ is ________Quantitative Aptitudehttps://aptitude.gateoverflow.in/6129/cat-2018-set-2-question-88Fri, 20 Mar 2020 05:48:49 +0000CAT 2018 Set-2 | Question: 99
https://aptitude.gateoverflow.in/6118/cat-2018-set-2-question-99
<p>Points $\text{A, P, Q}$ and $\text{B}$ lie on the same line such that $\text{P, Q}$ and $\text{B}$ are, respectively, $100$ km, $200$ km and $300$ km away from $\text{A}$. Cars $1$ and $2$ leave $\text{A}$ at the same time and move towards $\text{B}$. Simultaneously, car $3$ leaves $\text{B}$ and moves towards $\text{A}$. Car $3$ meets car $1$ at $\text{Q}$, and car $2$ at $\text{P}$. If each car is moving in uniform speed then the ratio of the speed of car $2$ to that of car $1$ is </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$1:2$</li>
<li>$2:9$</li>
<li>$1:4$</li>
<li>$2:7$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6118/cat-2018-set-2-question-99Fri, 20 Mar 2020 05:48:47 +0000CAT 2018 Set-1 | Question: 70
https://aptitude.gateoverflow.in/6041/cat-2018-set-1-question-70
Point $\text{P}$ lies between points $\text{A}$ and $\text{B}$ such that the length of $\text{BP}$ is thrice that of $\text{AP}$. Car $1$ starts from $\text{A}$ and moves towards $\text{B}$. Simultaneously, car $2$ starts from $\text{B}$ and moves towards $\text{A}$. Car $2$ reaches $\text{P}$ one hour after car $1$ reaches $\text{P}$. If the speed of car $2$ is half that of car $1$, then the time, in minutes, taken by car $1$ in reaching $\text{P}$ from $\text{A}$ is ___________Quantitative Aptitudehttps://aptitude.gateoverflow.in/6041/cat-2018-set-1-question-70Thu, 19 Mar 2020 22:39:09 +0000CAT 2018 Set-1 | Question: 83
https://aptitude.gateoverflow.in/6028/cat-2018-set-1-question-83
Train $\text{T}$ leaves station $\text{X}$ for station $\text{Y}$ at $3$ pm. Train $S$, traveling at three quarters of the speed of $\text{T}$, leaves $\text{Y}$ for $\text{X}$ at $4$ pm. The two trains pass each other at a station $\text{Z}$, where the distance between $\text{X}$ and $\text{Z}$ is three-fifths of that between $\text{X}$ and $\text{Y}$. How many hours does train $\text{T}$ take for its journey from $\text{X}$ to $\text{Y}$?Quantitative Aptitudehttps://aptitude.gateoverflow.in/6028/cat-2018-set-1-question-83Thu, 19 Mar 2020 22:39:07 +0000CAT 2018 Set-1 | Question: 98
https://aptitude.gateoverflow.in/6013/cat-2018-set-1-question-98
<p>The distance from $\text{A}$ to $\text{B}$ is $60$ km. Partha and Narayan start from $\text{A}$ at the same time and move towards $\text{B}$. Partha takes four hours more than Narayan to reach $\text{B}$. Moreover, Partha reaches the mid-point of $\text{A}$ and $\text{B}$ two hours before Narayan reaches $\text{B}$. The speed of Partha, in km per hour, is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4$</li>
<li>$6$</li>
<li>$5$</li>
<li>$3$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/6013/cat-2018-set-1-question-98Thu, 19 Mar 2020 22:39:04 +0000CAT 2017 Set-2 | Question: 68
https://aptitude.gateoverflow.in/5873/cat-2017-set-2-question-68
<p>In a $10$ km race, $\text{A, B}$ and $\text{C}$, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If $\text{A}$ beats $\text{B}$ by $1$ km and $\text{B}$ beats $\text{C}$ by $1$ km, then by how many metres does $\text{A}$ beat $\text{C}$?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$1800$</li>
<li>$1900$</li>
<li>$1500$</li>
<li>$1600$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5873/cat-2017-set-2-question-68Mon, 16 Mar 2020 05:43:49 +0000CAT 2017 Set-2 | Question: 70
https://aptitude.gateoverflow.in/5871/cat-2017-set-2-question-70
<p>Arun drove from home to his hostel at $60$ miles per hour. While returning home he drove halfway along the same route at a speed of $25$ miles per hour and then took a bypass road which increased his driving distance by $5$ miles, but allowed him to drive at $50$ miles per hour along this bypass road. If his return journey took $30$ minutes more than his onward journey, then the total distance traveled by him is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$55$ miles</li>
<li>$60$ miles</li>
<li>$65$ miles</li>
<li>$70$ miles</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5871/cat-2017-set-2-question-70Mon, 16 Mar 2020 05:43:48 +0000CAT 2017 Set-2 | Question: 78
https://aptitude.gateoverflow.in/5863/cat-2017-set-2-question-78
<p>A motorbike leaves point $\text{A}$ at $1$ pm and moves towards point $\text{B}$ at a uniform speed. A car leaves point $\text{B}$ at $2$ pm and moves towards point $\text{A}$ at a uniform speed which is double that of the motorbike. They meet at $3:40$ pm at a point which is $168$ km away from $\text{A}$. What is the distance, in km, between $\text{A}$ and $\text{B}?$</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$364$</li>
<li>$378$</li>
<li>$380$</li>
<li>$388$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5863/cat-2017-set-2-question-78Mon, 16 Mar 2020 05:43:47 +0000CAT 2017 Set-1 | Question: 70
https://aptitude.gateoverflow.in/5784/cat-2017-set-1-question-70
<p>A man leaves his home and walks at a speed of $12$ km per hour, reaching the railway station $10$ minutes after the train had departed. If instead he had walked at a speed of $15$ km per hour, he would have reached the station $10$ minutes before the train's departure. The distance (in km) from his home to the railway station is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$15$</li>
<li>$16$</li>
<li>$17$</li>
<li>None of these</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5784/cat-2017-set-1-question-70Fri, 13 Mar 2020 07:23:50 +0000CAT 2017 Set-1 | Question: 73
https://aptitude.gateoverflow.in/5781/cat-2017-set-1-question-73
<p>A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by $75\%$. The ratio of the original speed of the motor boat to the speed of the river is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$\sqrt{6}/\sqrt{2}$</li>
<li>$\sqrt{7}/2$</li>
<li>$2\sqrt{5}/3$</li>
<li>$3:2$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5781/cat-2017-set-1-question-73Fri, 13 Mar 2020 07:23:50 +0000CAT 2016 | Question: 87
https://aptitude.gateoverflow.in/5681/cat-2016-question-87
<p>There are five machines A, B C, D and E situated on a straight line at distances of $10$ metres, $20$ metres, $30$ metres, $40$ metres and $50$ metres respectively from the origin of the line. A robot is stationed at the origin of the line. The robot serves the machines with raw material whenever a machine becomes idle. All the raw material is located at the origin. The robot is in an idle state at the origin at the beginning of a day. As soon as one or more machines become idle, they send messages to the robot-station and the robot starts and serves all the machines from which it received messages. If a message is received at the station while the robot is away from it, the robot takes notice of the message only when it returns to the station. While moving, it serves the machines in the sequence in which they are encountered, and then returns to the origin. If any messages are pending at the station when it returns, it repeats the process again. Otherwise, it remains idle at the origin till the next message(s) is received.</p>
<p>Suppose on a certain day, machines A and D have sent the first two messages to the origin at the beginning of the first second, and C has sent a message at the beginning of the $5$th second and B at the beginning of the $6$th second, and E at the beginning of the $10$th second. How much distance in metres has the robot travelled since the beginning of the day, when it notices the message of E? Assume that the speed of movement of the robot is $10$ metres per second</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$140$</li>
<li>$80$</li>
<li>$340$</li>
<li>$360$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5681/cat-2016-question-87Wed, 11 Mar 2020 11:50:31 +0000CAT 2016 | Question: 86
https://aptitude.gateoverflow.in/5682/cat-2016-question-86
<p>A man travels three-fifths of a distance $\text{AB}$ at a speed $3a$, and the remaining at a speed $2b$. If he goes from $\text{B}$ to $\text{A}$ and return at a speed $5c$ in the same time, then</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$1/a+1/b=1/c$</li>
<li>$a+b=c$</li>
<li>$1/a+1/b=2/c$</li>
<li>$\text{None of these}$.</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5682/cat-2016-question-86Wed, 11 Mar 2020 11:50:31 +0000CAT 2016 | Question: 84
https://aptitude.gateoverflow.in/5684/cat-2016-question-84
<p>In a mile race, Akshay can be given a start of $128\:\text{m}$ by Bhairav. If Bhairav can give Chinmay a start of $4\:\text{m}$ in a $100\:\text{m}$ dash, then who out of Akshay and Chinmay will win a race of one and half miles, and what will be the final lead given by the winner to the loser? (One mile is $1,600\:\text{m}$.)</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>Akshay, $1/12$ mile</li>
<li>Chinmay, $1/32$ mile</li>
<li>Akshay, $1/24$ mile</li>
<li>Chinmay, $1/16$ mile</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5684/cat-2016-question-84Wed, 11 Mar 2020 11:50:31 +0000CAT 2015 | Question: 77
https://aptitude.gateoverflow.in/5575/cat-2015-question-77
<p>In a mile race, Akshay can be given a start of $128$ m by Bhairav. If Bhairav can give Chinmay a start of $4$ m in a $100$ m dash, then who out of Akshay and Chinmay will win a race of one and half miles, and what will be the final lead given by the winner to the loser? (One mile is $1,600$ m.)</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>Akshay, $1/12$ mile</li>
<li>Chinmay, $1/32$ mile</li>
<li>Akshay, $1/24$ mile</li>
<li>Chinmay, $1/16$ mile</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5575/cat-2015-question-77Mon, 09 Mar 2020 09:49:57 +0000CAT 2015 | Question: 85
https://aptitude.gateoverflow.in/5567/cat-2015-question-85
<p>Shyam went to Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is $\frac{3}{4}$ times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much again as that from Chandigarh to Shimla. If the average speed for the entire journey was $49$ kmph. What was the average speed from Chandigarh to Shimla?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$39.2$ kmph</li>
<li>$63$ kmph</li>
<li>$42$ kmph</li>
<li>None of the above</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5567/cat-2015-question-85Mon, 09 Mar 2020 09:49:56 +0000CAT 2011 | Question: 7
https://aptitude.gateoverflow.in/5544/cat-2011-question-7
<p>Two cars $\text{A}$ and $\text{B}$ start from two points $\text{P}$ and $\text{Q}$ respectively towards each other simultaneously. After travelling some distance, at a point $\text{R}$, car $\text{A}$ develops engine trouble. It continues to travel at $\text{2/3 rd}$ of its usual speed to meet car $\text{B}$ at a point $\text{S}$ where $\text{PR = QS}$. If the engine trouble had occurred after car $\text{A}$ had travelled double the distance it would have met car $\text{B}$ at a point $\text{T}$ where $\text{ST = SQ/9}$. Find the ratio of speeds of $\text{A}$ and $\text{B}$. </p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$4:1$</li>
<li>$2:1$</li>
<li>$3:1$</li>
<li>$3:2$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5544/cat-2011-question-7Mon, 09 Mar 2020 06:28:08 +0000CAT 2019 Set-1 | Question: 85
https://aptitude.gateoverflow.in/5426/cat-2019-set-1-question-85
<p>The wheel of bicycles $\text{A}$ and $\text{B}$ have radii $30$ cm and $40$ cm, respectively. While traveling a certain distance, each wheel of $\text{A}$ required $5000$ more revolutions than each wheel of $\text{B}$. If bicycle $\text{B}$ traveled this distance in $45$ minutes, then its speed, in km per hour, was</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$18\pi$</li>
<li>$12\pi$</li>
<li>$16\pi$</li>
<li>$14\pi$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5426/cat-2019-set-1-question-85Sun, 08 Mar 2020 10:24:39 +0000CAT 2019 Set-1 | Question: 82
https://aptitude.gateoverflow.in/5429/cat-2019-set-1-question-82
<p>Two cars travel the same distance starting at $10:00$ am and $11:00$ am, respectively, on the same day. They reach their common destination at the same point of time. If the first car traveled for at least $6$ hours, then the highest possible value of the percentage by which the speed of the second car could exceed that of the first car is</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$30$</li>
<li>$25$</li>
<li>$10$</li>
<li>$20$</li>
</ol>Quantitative Aptitudehttps://aptitude.gateoverflow.in/5429/cat-2019-set-1-question-82Sun, 08 Mar 2020 10:24:39 +0000