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

A train measuring 450 m in length is running at a speed of 90 km/h. How much time (in seconds) will it take to completely cross an individual sitting inside another train that is 350 m long, which is running at 54 km/h in the opposite direction?

  1. 11.25 seconds

  2. 15 seconds

  3. 18 seconds

  4. 22.5 seconds

  5. None
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Relative speed = 90 + 54 = 144 km/h = 144 * (5/18) = 40 m/s. The train needs to cover its own length to pass the person. Time = 450 / 40 = 11.25 seconds.

Multiple choice

rain Alpha, spanning a physical length of 500 meters, moves forward at a uniform speed of 90 km/h. How much total duration will it require to cross an individual sitting inside Train Beta (400 meters long) which is heading in the opposite direction at 54 km/h?

  1. 12.5 seconds

  2. 15 seconds

  3. 18 seconds

  4. 20 seconds

  5. none
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Relative speed = 90 + 54 = 144 km/h = 144 * (5/18) = 40 m/s. Total distance to cover = 500m (length of train Alpha). Time = 500 / 40 = 12.5 seconds.

Multiple choice

A train X starts from Meerut at 4 pm and reaches Ghaziabad at 5 pm. Another train Y starts from Ghaziabad at 4 pm and reaches Meerut at 5:30 pm. At what time will the two trains cross each other?

  1. 4.36 pm

  2. 4.42 pm

  3. 4.48 pm

  4. 4.50 pm

  5. 4.55 pm
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Train X speed = 1 distance unit/hour. Train Y speed = 1 distance unit/1.5 hours = 2/3 distance unit/hour. They start at the same time and distance is 1 unit. Relative speed = 1 + 2/3 = 5/3 units/hour. Time = Distance / Relative Speed = 1 / (5/3) = 3/5 hours = 36 minutes. They cross at 4:36 pm.