in Quantitative Aptitude retagged by
288 views
0 votes
0 votes

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of $2$ kmph and $4$ kmph and passes them completely in $9$ and $10$ seconds respectively. The length of the train(in metres) is:

  1. $45$
  2. $54$
  3. $50$
  4. $72$
in Quantitative Aptitude retagged by
12.6k points
288 views

1 Answer

0 votes
0 votes

Answer is C

Let length of train be x and speed of the train be y

Case 1 – Person A  → S = $2*\frac{5}{18}m/sec$      t = 9 sec

Case 2 – Person B  → S = $4*\frac{5}{18}m/sec$      t = 10 sec

Dist in Case 1 →  $\frac{x}{y-\frac{10}{18}}=9$   →  x = 9y – 5   -----(1) 

Dist in Case 2 →  $\frac{x}{y-\frac{10}{9}}=10$   →  x = 10y – $\frac{100}{9}$   -----(2)

On solving (1) and (2), we will get x = 50 and y = $\frac{55}{9}$ 

3.0k points

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