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

Train A crosses a pole in 18 seconds and a platform in 39 seconds. The length of the platform is 157.5 m. If the length of Train B is equal to half the length of Train A plus twice the length of the platform, what is the length of Train B?

  1. 382.5 m

  2. 328.5 m

  3. 238.5 m

  4. 315 m
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Train A length L, speed v. L = v * 18. L + 157.5 = v * 39. Substituting L = 18v: 18v + 157.5 = 39v, so 21v = 157.5, v = 7.5 m/s. L = 18 * 7.5 = 135 m. Train B length = 0.5 * 135 + 2 * 157.5 = 67.5 + 315 = 382.5 m.

Multiple choice

A train crosses the platforms of two consecutive stations. The length of the first platform is 430 m and the length of the second platform is 550 m. The train crosses them in 30 seconds and 36 seconds, respectively. What is the speed of the train?

  1. 72 kmph

  2. 36 kmph

  3. 20 kmph

  4. 40 kmph
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Speed = (Length1 + TrainLength) / 30 = (Length2 + TrainLength) / 36. (430 + L) / 30 = (550 + L) / 36. 36(430 + L) = 30(550 + L). 6(430 + L) = 5(550 + L). 2580 + 6L = 2750 + 5L. L = 170. Speed = (430 + 170) / 30 = 600 / 30 = 20 m/s. 20 m/s * 18/5 = 72 kmph.

Multiple choice

A person 'A' is standing in the middle of a platform of length 300 m. Two trains 'B' and 'C' of respective lengths 120 m and 250 m running with respective speeds of 54 km/h and 72 km/h enter the platform from opposite ends at the same time (on parallel tracks). How much of the length of train 'C' does the person see while it passes him if train B comes in between him and train C to block his view?

  1. 30 m

  2. 40 m

  3. 90 m

  4. 80 m

  5. 120 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Two trains Doronto Express and Toronto Express of lengths 200 m and 260 m are moving at speeds of 54 kmph and 72 kmph are running on parallel tracks in opposite directions, respectively. They enter a 300 m long tunnel at the same time. Which train exits the tunnel first and how much length of the other train was still in the tunnel?

  1. Toronto Express, 100 m

  2. Doronto Express, 90 m

  3. Toronto Express, 80 m

  4. Doronto Express, 80 m

  5. Toronto Express, 90 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Speeds in m/s: 54 kmph = 15 m/s, 72 kmph = 20 m/s. Time to clear tunnel: Doronto (200m train + 300m tunnel) = 500/15 = 33.33s. Toronto (260m train + 300m tunnel) = 560/20 = 28s. Toronto exits first. In 28s, Doronto has traveled 28 * 15 = 420m. Since the tunnel is 300m long, the front of the Doronto train has already exited, but the back is still in the tunnel. The length of Doronto inside the tunnel is 200 - (420 - 300) = 80m.

Multiple choice

Train A left the station at 11:30 a.m. and is travelling at speed of 80 kmph. Train B left the station after 45 min and is travelling on parallel track in the same direction at speed of 120 kmph. At what time will train B cross train A?

  1. 1:00 p.m.

  2. 1:15 p.m.

  3. 1:45 p.m.

  4. 2:05 p.m.

  5. 2:20 p.m.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Train A travels for 45 minutes (0.75 hours) before B starts. Distance A = 80 * 0.75 = 60 km. Relative speed = 120 - 80 = 40 kmph. Time for B to catch A = 60 / 40 = 1.5 hours (1 hour 30 min). Train B starts at 12:15 p.m. (11:30 + 45 min). 12:15 + 1:30 = 1:45 p.m.

Multiple choice

Directions: The following question consists of two quantities, Quantity I and Quantity II. You are to compare them both and find the correct relationship between them. A train running at a speed of 72 km/h crosses the person running in the opposite direction in 30 seconds, the ratio of speed of the person to that of a train is 1 : 8. Quantity I: Length of the train Quantity II: 0.6 km

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Speed of train = 72 km/h = 20 m/s. Speed of person = 1/8 * 72 = 9 km/h = 2.5 m/s. Relative speed = 20 + 2.5 = 22.5 m/s. Length = 22.5 * 30 = 675 meters = 0.675 km. 0.675 > 0.6.