Welcome to our Train Aptitude practice set, which features the top 60 questions we carefully selected. This series helps you master speed, time, and distance in train-based questions. You will get questions on relative speed, crossing poles/platforms, and overtaking. Each question includes the final answer with a simple explanation. Do a few daily, and soon your calculations will run faster than the train.
Keep the practice going with this topic list: aptitude question and answers.
Problems on Trains Formulas
Symbols (first occurrence meanings):
- D = distance
- T = time
- V = speed
- L = length
- L₁, L₂ = lengths of train 1 and train 2
- Lₜ = length of train
- Lₒ = length of other object (platform/bridge/tunnel/vehicle)
- V₁, V₂ = speeds of two moving objects
- Vrel = relative speed
Core speed–time–distance
- V = D ÷ T
- D = V × T
- T = D ÷ V
Unit conversion
- V(m/s) = V(km/h) × (5/18)
- V(km/h) = V(m/s) × (18/5)
Relative speed
- Same direction: Vrel = |V₁ − V₂|
- Opposite direction: Vrel = V₁ + V₂
Distance to be covered while crossing
- Single moving object past a point: D = Lₜ
- Moving object past a stationary object: D = Lₜ + Lₒ
- Two moving objects crossing: D = L₁ + L₂
Crossing time (general)
- T = D ÷ V (when the other object is stationary)
- T = D ÷ Vrel (when both are moving)
60 Problems on Trains Aptitude Questions and Answers
Problems on Trains Aptitude Test: Speed-Time-Distance Core (20 MCQ Questions)
Question 1. A train 180 m long is running at 72 km/h. How much time will it take to cross a pole?
a) 6 s
b) 7 s
c) 8 s
d) 9 s
Answer:
d) 9 s
Question 2. A train 225 m long runs at 54 km/h and crosses a cyclist running at 9 km/h in the same direction. How much time will it take?
a) 15 s
b) 16 s
c) 18 s
d) 20 s
Answer:
c) 18 s
Question 3. A train 240 m long runs at 90 km/h. How much time will it take to cross a 260 m platform?
a) 16 s
b) 18 s
c) 20 s
d) 22 s
Answer:
c) 20 s
Question 4. A train running at 90 km/h crosses a bridge of length 420 m in 28 s. What is the length of the train?
a) 240 m
b) 260 m
c) 280 m
d) 300 m
Answer:
c) 280 m
Question 5. A train crosses a pole in 12 s at 108 km/h. What is the length of the train?
a) 300 m
b) 330 m
c) 360 m
d) 390 m
Answer:
c) 360 m
Question 6. A train 150 m long crosses a 210 m platform in 18 s. What is the speed of the train?
a) 60 km/h
b) 66 km/h
c) 72 km/h
d) 78 km/h
Answer:
c) 72 km/h
Question 7. A train running at 81 km/h crosses a pole in 12 s. Find the length of the train.
a) 240 m
b) 270 m
c) 300 m
d) 320 m
Answer:
b) 270 m
Question 8. A train running at 60 km/h crosses a pole in 15 s. Find the length of the train.
a) 200 m
b) 225 m
c) 250 m
d) 275 m
Answer:
c) 250 m
Question 9. A train 300 m long crosses a tunnel 450 m long at 90 km/h. How much time will it take?
a) 24 s
b) 27 s
c) 30 s
d) 33 s
Answer:
c) 30 s
Question 10. A train 210 m long crosses a 490 m platform in 40 s. What is the speed of the train?
a) 54 km/h
b) 60 km/h
c) 63 km/h
d) 72 km/h
Answer:
c) 63 km/h
Question 11. A train 250 m long runs at 72 km/h and crosses a cyclist running at 18 km/h in opposite direction. How much time will it take?
a) 8 s
b) 9 s
c) 10 s
d) 12 s
Answer:
c) 10 s
Question 12. A train 400 m long runs at 84 km/h and crosses a runner at 12 km/h in the same direction. How much time will it take?
a) 16 s
b) 18 s
c) 20 s
d) 22 s
Answer:
c) 20 s
Question 13. A train running at 108 km/h crosses a 420 m platform in 24 s. Find the length of the train.
a) 240 m
b) 270 m
c) 300 m
d) 330 m
Answer:
c) 300 m
Question 14. A train running at 72 km/h crosses a bridge of length 300 m in 25 s. Find the length of the train.
a) 150 m
b) 180 m
c) 200 m
d) 220 m
Answer:
c) 200 m
Question 15. A train 180 m long crosses a pole in 10 s and crosses a 270 m platform in 25 s. Find the speed of the train.
a) 60 km/h
b) 64.8 km/h
c) 72 km/h
d) 75 km/h
Answer:
b) 64.8 km/h
Question 16. A train runs at 90 km/h. It passes a man standing on a platform in 18 s and passes the platform in 30 s. Find the length of the platform.
a) 240 m
b) 270 m
c) 300 m
d) 330 m
Answer:
c) 300 m
Question 17. A train runs at 54 km/h and passes a pole in 20 s. What is the length of the train?
a) 240 m
b) 270 m
c) 300 m
d) 330 m
Answer:
c) 300 m
Question 18. A train 360 m long passes a pole in 18 s. Find the speed of the train.
a) 60 km/h
b) 66 km/h
c) 72 km/h
d) 78 km/h
Answer:
c) 72 km/h
Question 19. A train crosses a bus 18 m long in opposite direction in 14 s. The train speed is 72 km/h. Find the length of the train.
a) 372 m
b) 402 m
c) 420 m
d) 450 m
Answer:
b) 402 m
Question 20. A train 280 m long passes a 350 m platform in 21 s. Find the speed of the train.
a) 90 km/h
b) 96 km/h
c) 100 km/h
d) 108 km/h
Answer:
d) 108 km/h
Problems on Trains Aptitude Test: Two-Trains Scenarios (20 MCQ Questions)
Question 1. Two trains of lengths 200 m and 250 m run in opposite directions at 72 km/h and 108 km/h. In how many seconds will they cross each other?
a) 7 s
b) 8 s
c) 9 s
d) 10 s
Answer:
c) 9 s
Question 2. Two trains of lengths 240 m and 160 m run in the same direction at 90 km/h and 54 km/h. How many seconds will the faster train take to cross the slower train?
a) 30 s
b) 35 s
c) 40 s
d) 45 s
Answer:
c) 40 s
Question 3. Two trains run at the same speed of 72 km/h and cross a pole in 12 s and 15 s respectively. What is the ratio of their lengths?
a) 3:4
b) 4:5
c) 5:6
d) 6:7
Answer:
b) 4:5
Question 4. Two trains of lengths 200 m and 300 m run in opposite directions at 72 km/h and 108 km/h. In how many seconds will they cross each other?
a) 8 s
b) 9 s
c) 10 s
d) 12 s
Answer:
c) 10 s
Question 5. Train A (240 m) runs at 90 km/h and crosses Train B running at 72 km/h in opposite direction in 12 s. Find the length of Train B.
a) 240 m
b) 270 m
c) 300 m
d) 330 m
Answer:
c) 300 m
Question 6. Two trains start from the same point in opposite directions. After 6 minutes, the distance between them is 18 km. If their speeds are in the ratio 2:3, what is the speed of the faster train?
a) 90 km/h
b) 96 km/h
c) 108 km/h
d) 120 km/h
Answer:
c) 108 km/h
Question 7. Train A (180 m) at 72 km/h overtakes Train B (120 m) at 54 km/h. How many seconds will it take?
a) 45 s
b) 50 s
c) 55 s
d) 60 s
Answer:
d) 60 s
Question 8. Two trains run in opposite directions at 90 km/h and 72 km/h. They cross each other in 12 s. If their lengths are in the ratio 3:2, find the length of the shorter train.
a) 180 m
b) 200 m
c) 216 m
d) 240 m
Answer:
c) 216 m
Question 9. Two trains, each running at 72 km/h, cross a 400 m platform in 30 s and 24 s respectively. What is the ratio of their lengths?
a) 2:5
b) 3:5
c) 4:5
d) 5:2
Answer:
d) 5:2
Question 10. Train A (360 m) at 108 km/h overtakes Train B (240 m) at 72 km/h. How many seconds will it take?
a) 50 s
b) 55 s
c) 60 s
d) 65 s
Answer:
c) 60 s
Question 11. Two trains of lengths 250 m and 150 m run in opposite directions. If Train A runs at 72 km/h and they cross each other in 8 s, find the speed of Train B.
a) 90 km/h
b) 100 km/h
c) 108 km/h
d) 120 km/h
Answer:
c) 108 km/h
Question 12. Two trains running in opposite directions at 90 km/h and 72 km/h cross each other in 18 s. What is the combined length of the two trains?
a) 720 m
b) 810 m
c) 900 m
d) 990 m
Answer:
b) 810 m
Question 13. Train B is 120 m long and runs at 72 km/h. Train A runs at 108 km/h in the same direction and crosses Train B in 30 s. Find the length of Train A.
a) 150 m
b) 160 m
c) 170 m
d) 180 m
Answer:
d) 180 m
Question 14. Two trains of lengths 250 m and 350 m run in opposite directions at 75 km/h and 105 km/h. In how many seconds will they cross each other?
a) 10 s
b) 11 s
c) 12 s
d) 13 s
Answer:
c) 12 s
Question 15. Train A is 270 m long and runs at 54 km/h. It crosses Train B running at 90 km/h in opposite direction in 15 s. Find the length of Train B.
a) 300 m
b) 320 m
c) 330 m
d) 360 m
Answer:
c) 330 m
Question 16. Two trains start towards each other from two towns 270 km apart at 60 km/h and 75 km/h. After meeting, the 60 km/h train takes 3 hours to reach the other town. At what time after start did they meet?
a) 2 h 12 min
b) 2 h 18 min
c) 2 h 24 min
d) 2 h 30 min
Answer:
c) 2 h 24 min
Question 17. Train A (200 m) runs at 90 km/h. Train B (200 m) runs at 72 km/h in the same direction. If Train A starts 5 s after Train B from the same point, how many seconds after Train A starts will it completely overtake Train B?
a) 80 s
b) 90 s
c) 100 s
d) 110 s
Answer:
c) 100 s
Question 18. Train A (300 m) runs at 108 km/h and crosses Train B (150 m) in opposite direction in 9 s. Find the speed of Train B.
a) 54 km/h
b) 60 km/h
c) 66 km/h
d) 72 km/h
Answer:
d) 72 km/h
Question 19. Two trains of lengths 400 m and 200 m run in opposite directions. If the 400 m train runs at 90 km/h and they cross each other in 20 s, find the speed of the 200 m train.
a) 18 km/h
b) 24 km/h
c) 30 km/h
d) 36 km/h
Answer:
a) 18 km/h
Question 20. Two trains each of length 150 m cross a 450 m platform in 30 s and 25 s respectively. What is the ratio of their speeds?
a) 4:5
b) 5:6
c) 6:7
d) 7:8
Answer:
b) 5:6
Problems on Trains Aptitude Test: Advanced Composite Word Problems (20 MCQ Questions)
Question 1. A train 240 m long runs at 90 km/h. Starting when its front enters a 300 m platform and ending when its back leaves a 360 m tunnel (platform followed immediately by tunnel), how much total time is taken?
a) 30 s
b) 32 s
c) 36 s
d) 40 s
Answer:
c) 36 s
Question 2. A train 200 m long runs at 72 km/h and crosses a platform in 25 s. Find the platform length.
a) 250 m
b) 280 m
c) 300 m
d) 320 m
Answer:
c) 300 m
Question 3. Two trains (180 m and 120 m) run in the same direction at 108 km/h and 72 km/h. If their fronts enter a tunnel at the same instant from the same point, how many seconds will the faster train take to completely overtake the slower train?
a) 24 s
b) 27 s
c) 30 s
d) 36 s
Answer:
c) 30 s
Question 4. Two stations are 150 km apart. Train A leaves Station X at 8:00 AM at 60 km/h. Train B leaves Station Y at 8:20 AM towards X at 75 km/h. When do they meet?
a) 9:10 AM
b) 9:15 AM
c) 9:18 AM (approx)
d) 9:25 AM
Answer:
c) 9:18 AM (approx)
Question 5. A train passes a pole in 15 s and passes a 450 m platform in 30 s. Find the speed of the train.
a) 72 km/h
b) 90 km/h
c) 100 km/h
d) 108 km/h
Answer:
d) 108 km/h
Question 6. A train passes a pole in 15 s and a 450 m platform in 30 s. Find the length of the train.
a) 360 m
b) 420 m
c) 450 m
d) 480 m
Answer:
c) 450 m
Question 7. Two trains cross each other in 12 s. One of them then crosses a 600 m platform in 36 s at the same speed. If the second train runs at 90 km/h, find the length of the second train.
a) 360 m
b) 390 m
c) 420 m
d) 450 m
Answer:
c) 420 m
Question 8. A train 150 m long crosses a runner moving at 18 km/h in the same direction in 10 s. Find the speed of the train.
a) 60 km/h
b) 66 km/h
c) 72 km/h
d) 78 km/h
Answer:
c) 72 km/h
Question 9. A train 300 m long crosses a pole in 12 s and crosses a bridge in 24 s. Find the length of the bridge.
a) 240 m
b) 270 m
c) 300 m
d) 330 m
Answer:
c) 300 m
Question 10. Train A (120 m) at 108 km/h overtakes Train B in the same direction at 72 km/h in 20 s. Find the length of Train B.
a) 60 m
b) 80 m
c) 100 m
d) 120 m
Answer:
b) 80 m
Question 11. A train passes a pole in 12 s and passes a 540 m tunnel in 30 s. Find the speed of the train.
a) 72 km/h
b) 90 km/h
c) 100 km/h
d) 108 km/h
Answer:
d) 108 km/h
Question 12. A train passes a pole in 12 s and passes a 540 m tunnel in 30 s. Find the length of the train.
a) 300 m
b) 330 m
c) 360 m
d) 390 m
Answer:
c) 360 m
Question 13. Two trains run in opposite directions. Train A crosses a pole in 10 s at 72 km/h. Train B crosses a pole in 12 s at 108 km/h. How many seconds will they take to cross each other?
a) 5 s
b) 6 s
c) 7 s
d) 8 s
Answer:
b) 6 s
Question 14. Train A crosses a pole in 10 s and a 300 m platform in 25 s. Find the speed of Train A.
a) 60 km/h
b) 66 km/h
c) 72 km/h
d) 78 km/h
Answer:
c) 72 km/h
Question 15. A 240 m train crosses a 360 m platform in 24 s. It then crosses a 540 m tunnel at the same speed. How many seconds will it take to cross the tunnel completely?
a) 24 s
b) 26 s
c) 28 s
d) 30 s
Answer:
d) 30 s
Question 16. A train takes 20 s to cross a platform and 8 s to cross a pole. The platform is 300 m long. Find the speed of the train.
a) 72 km/h
b) 90 km/h
c) 100 km/h
d) 108 km/h
Answer:
b) 90 km/h
Question 17. A train takes 20 s to cross a platform and 8 s to cross a pole. The platform is 300 m long. Find the length of the train.
a) 160 m
b) 180 m
c) 200 m
d) 220 m
Answer:
c) 200 m
Question 18. A train runs at 75 km/h and crosses a 525 m platform in 36 s. Find the length of the train.
a) 180 m
b) 200 m
c) 225 m
d) 250 m
Answer:
c) 225 m
Question 19. A train runs at 105 km/h and crosses a 525 m platform in 30 s. Find the length of the train.
a) 300 m
b) 320 m
c) 350 m
d) 375 m
Answer:
a) 300 m
Question 20. DATA SUFFICIENCY: What is the speed of a train?
I. It crosses a 450 m platform in 30 s.
II. It crosses a pole in 12 s.
a) Statement I alone is sufficient
b) Statement II alone is sufficient
c) Both statements together are sufficient, but neither alone
d) Even together, not sufficient
Answer:
c) Both statements together are sufficient, but neither alone
