Quantitative Aptitude

Problems on Trains

989 Questions
All Passing a moving person or another train 430 Crossing a platform or bridge 379 Crossing a pole or stationary person 104 Meeting point and post-meeting times 52 Journey time, reduced speed, and schedule conditions 24

Problems on Trains Questions

Multiple choice

Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is

  1. 3 : 2

  2. 5 : 3

  3. 2 : 3

  4. 2 : 1
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let lengths be La and Lb, speeds 5v and 3v. Relative speed = 8v. 8v * 46 = La + Lb (front to rear). 8v * 69 = La + Lb (rear to rear). This implies the trains have different lengths. The time taken for rear ends to cross is (La+Lb)/8v. The problem description is slightly ambiguous, but the ratio 3:2 is a standard solution for this type of problem.

Multiple choice

A 320 m long train is moving at an average speed of 120 km/h and crosses a platform in 24 seconds. A man crossed the same platform in 4 minutes. The speed of the man in m/sec is

  1. 2.0

  2. 2.4

  3. 1.6

  4. 1.5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Train speed = 120 km/h = 120 * (5/18) = 100/3 m/s. Distance = Speed * Time = (100/3) * 24 = 800 meters. Train length = 320 m, so platform length = 800 - 320 = 480 meters. Man crosses 480 meters in 4 minutes (240 seconds). Man's speed = 480 / 240 = 2.0 m/s.

Multiple choice

Train A running with the speed of 36 km/hr crosses a pole in 20 seconds. Another train B whose length is 100 metre more than length of train A is running with the speed of 18 km/hr. Find the time taken by train B to cross a platform of length 500 metre.

  1. 200 seconds

  2. 160 seconds

  3. 150 seconds

  4. 140 seconds

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Train A speed is 36 km/hr = 10 m/s. Length of A = 10 m/s * 20 s = 200 m. Train B length = 200 + 100 = 300 m. Train B speed = 18 km/hr = 5 m/s. Time to cross 500 m platform = (300 + 500) / 5 = 800 / 5 = 160 seconds.