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 running at the speed of 36 kmph takes 30 seconds to pass a bridge. It takes 14 seconds to pass a man running at 9 kmph in opposite direction. What is the length of the bridge?

  1. 200 metres

  2. 225 metres

  3. 100 metres

  4. 125 metres

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

Train speed is 36 kmph = 10 m/s. Man speed is 9 kmph = 2.5 m/s. Relative speed when passing man = 10 + 2.5 = 12.5 m/s. Length of train = 12.5 * 14 = 175 meters. Time to pass bridge = 30s. Total distance = 10 * 30 = 300 meters. Bridge length = 300 - 175 = 125 meters.

Multiple choice

Two trains of lengths 180 m and 220 m are running on parallel tracks. If they run in the same direction, the faster train takes 25 seconds to pass the slower train and if they run in opposite directions, it takes them 10 seconds to pass each other. Find the speed of the faster train.

  1. 28 m/s

  2. 36 m/s

  3. 20 m/s

  4. 17.5 m/s

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

Let speeds be v1, v2. Same direction: (v1-v2) = (180+220)/25 = 400/25 = 16. Opposite: (v1+v2) = (180+220)/10 = 400/10 = 40. Adding: 2v1 = 56, v1 = 28 m/s.

Multiple choice

A train is running at a speed of 36 km/hr. It crosses a railway platform in 20 seconds and a boy standing on the platform in 10 seconds. Find the length of the platform.

  1. 200 m

  2. 100 m

  3. 50 m

  4. 240 m

  5. 120 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The train speed is 36 km/hr, which is 10 m/s. The length of the train is the distance covered in 10 seconds (passing a boy), so 10 m/s * 10 s = 100 m. The train covers the platform length plus its own length in 20 seconds, so 10 m/s * 20 s = 200 m; subtracting the train length gives 200 - 100 = 100 m.

Multiple choice

Two persons X and Y are walking at speeds of 3.6 km/hr and 5.4 km/hr, respectively. They are both walking in the same direction. A train that runs in the same direction as that of X and Y crosses X in 9.6 seconds and Y in 9.8 seconds. Find the speed of the train in km/hr.

  1. 85.5

  2. 51.0

  3. 75.4

  4. 91.8

  5. 99.3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let train speed be V. Relative speeds are (V - 3.6) and (V - 5.4) km/hr. Convert to m/s: (V-3.6)5/18 and (V-5.4)*5/18. Distance = speed * time: L = (V-3.6)(5/18)9.6 and L = (V-5.4)(5/18)*9.8. Equating these: 9.6(V-3.6) = 9.8(V-5.4) => 9.6V - 34.56 = 9.8V - 52.92 => 0.2V = 18.36 => V = 91.8 km/hr.

Multiple choice

A train, running at a speed of 46 kmph, takes 21 seconds to pass a platform. Also, it takes 12 seconds to pass a man walking at a speed of 10 kmph in the same direction as the train. Find the length of the platform.

  1. 130.33 m

  2. 160.50 m

  3. 148.33 m

  4. 180.45 m

  5. 100.50 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Train speed = 46 kmph = 12.77 m/s. Man speed = 10 kmph = 2.77 m/s. Relative speed = 10 m/s. Train length = 10 m/s * 12 s = 120 m. Total distance for platform = 12.77 m/s * 21 s = 268.27 m. Platform length = 268.27 - 120 = 148.27 m, which rounds to 148.33 m.

Multiple choice

A train crosses a platform in 27 seconds with a speed of 36 km/hour and takes 18 seconds to cross a man running in the same direction with a speed of 9 km/hour. What is the length of the platform?

  1. 112 m

  2. 126 m

  3. 135 m

  4. 145 m

  5. 158 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Speed of train = 36 km/h = 10 m/s. Speed of man = 9 km/h = 2.5 m/s. Relative speed (same direction) = 10 - 2.5 = 7.5 m/s. Length of train = 7.5 m/s * 18 s = 135 m. Time to cross platform = 27 s, so total distance = 10 m/s * 27 s = 270 m. Length of platform = 270 - 135 = 135 m.

Multiple choice

Two trains A and B are moving in same direction with the speeds of 108 km/hr and 72 km/hr, respectively. In train B, a passenger starts walking from the front towards the rear end of the train with a speed of 9 km/hr. Assume that at the point he starts walking, the fronts of both the trains are in line with each other. If the length of train A is 125 m and that of train B is 180 m, then in how much time will train A completely cross the passenger in train B?

  1. 8 s

  2. 10 s

  3. 11 s

  4. 12 s

  5. 15 s
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed of passenger to train A: Train A speed = 30 m/s. Train B speed = 20 m/s. Passenger speed relative to ground = 20 - 2.5 = 17.5 m/s. Relative speed of A to passenger = 30 - 17.5 = 12.5 m/s. Time = Distance / Speed = 125 / 12.5 = 10 s.

Multiple choice

The length of train A is 144 m and that of train B is 156 m. Both the trains start their journey from two different stations and move towards each other on parallel tracks. The average speed of train A is 46 kmph while that of train B is 44 kmph. Calculate the time duration in which they pass each other after the point where they meet first.

  1. 10 sec

  2. 12 sec

  3. 14 sec

  4. 16 sec

  5. 18 sec
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = 46 + 44 = 90 kmph = 90 * (5/18) = 25 m/s. Total distance to cover = 144 + 156 = 300 m. Time = 300 / 25 = 12 seconds.