Aptitude Overflow
+1 vote
112 views

A man travels form A to B at a speed of x kmph. He then rests at B or x hours. He then travels from B to C at a speed of $2x$ kmph and rests at C for $2x$ hours. He moves further to D at a speed twice as that between B and C. He thus reaches D in 16 hours. If distances A-B, B-C, C-D are all equal to $12$ km. the time for which he rested at B could be:

  1. $3$ hours
  2. $6$ hours
  3. $2$ hours
  4. $4$ hours
in Quantitative Aptitude by (7.8k points) 98 422 915
recategorized by | 112 views

1 Answer

+1 vote

Total time taken by the man to travel from A to D = 16 hr and total distance traveled = 36 km.

The time that he would have taken had he not rested in between will be (16-x-2x) = (16-3x).

But, this time should be equal to the addition of the times that he takes to travel individual segments. This is given as:

12/x + 12/2x + 12/4x = 21/x

Therefore, 21/x = 16-3x

x = 3 or 7/3

Option A is the Correct Answer.

by (2.7k points) 2 8 31

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
4,628 questions
1,567 answers
538 comments
44,483 users