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 passenger trains are travelling on parallel tracks. The first train, which is 220 metres long, crosses a signal post in 20 seconds. The second train, which is travelling 6 km/h slower than the first train, takes 25 seconds to cross a similar signal post. When the two trains pass each other, they do so in 30 seconds. What is the length of the second train, in metres?

  1. 330 m

  2. 360 m

  3. 390 m

  4. 420 m

  5. 450 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Train 1 speed = 220/20 = 11 m/s. Train 2 speed = 11 - (6 * 5/18) = 11 - 1.67 = 9.33 m/s. Relative speed = 11 + 9.33 = 20.33 m/s. Total distance = (L1 + L2) = 20.33 * 30 = 610. L2 = 610 - 220 = 390.

Multiple choice

Two trains are travelling on parallel tracks in opposite directions. Train A is 130 metres long and travels at a speed of 90 km/h. Train B is 185 metres long and travels at a speed of 72 km/h. How long does it take for the two trains to completely pass each other?

  1. 4 seconds

  2. 6 seconds

  3. 7 seconds

  4. 9 seconds

  5. 11 seconds
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total distance to cover = 130 + 185 = 315 meters. Relative speed = 90 + 72 = 162 km/h. Convert to m/s: 162 * (5/18) = 45 m/s. Time = Distance / Speed = 315 / 45 = 7 seconds.

Multiple choice

A train crosses an electric pole in 18 seconds and crosses 250 m long tunnel in 36 seconds. What is the speed of the train?

  1. 40 kmph

  2. 50 kmph

  3. 60 kmph

  4. 80 kmph
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let L be the length of the train and v be its speed. From the first condition, L = v * 18. From the second, L + 250 = v * 36. Substituting the first into the second gives 18v + 250 = 36v, so 18v = 250, v = 250/18 m/s. Converting to kmph: (250/18) * (18/5) = 50 kmph.

Multiple choice

Two trains of lengths 150 metres and 250 metres run on parallel lines. When they run in the same direction, it will take 36 seconds to cross each other. When they run in opposite direction, it will take 9 seconds to cross each other. Find the speeds of the two trains.

  1. 100 kmph and 60 kmph

  2. 200 kmph and 160 kmph

  3. 120 kmph and 80 kmph

  4. 100 kmph and 80 kmph

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

Let speeds be u and v (km/h). Total length = 400m = 0.4 km. Same direction: (u - v) = 0.4 / (36/3600) = 40 km/h. Opposite direction: (u + v) = 0.4 / (9/3600) = 160 km/h. Solving the system: 2u = 200, u = 100; 2v = 120, v = 60.

Multiple choice

Two trains 130 m and 110m long are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 seconds. Find the speed of each train?

  1. 42 m/s, 38 m/s

  2. 36 m/s, 42 m/s

  3. 38 m/s, 36 m/s

  4. 40 m/s, 36 m/s

  5. 42 m/s, 36 m/s
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let speeds be v1, v2. Same direction: (v1 - v2) = (130 + 110) / 60 = 4 m/s. Opposite direction: (v1 + v2) = (130 + 110) / 3 = 80 m/s. Solving: 2v1 = 84, v1 = 42; 2v2 = 76, v2 = 38. Option A is 42, 38.

Multiple choice

Two trains cross each other at a speed of 70 KMPH and 50 KMPH respectively. if the total length of both the trains is 1500 m find the time in which they cross each other the trains were moving in opposite direction?

  1. 43 second

  2. 41 second

  3. 45 second

  4. 49 second

  5. 42 second
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed = 70 + 50 = 120 kmph. Convert to m/s: 120 * 5/18 = 100/3 m/s. Time = Distance / Speed = 1500 / (100/3) = 1500 * 3 / 100 = 45 seconds.