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Problems on Trains — Questions and Answers

Problems on Trains apply relative speed to a moving object that has its own length. A train crossing a pole covers only its own length; crossing a platform or bridge it covers its length plus the platform length. When two trains cross each other you add their speeds if they move in opposite directions and subtract if they move in the same direction. Almost every question in the 2026 TCS NQT, Infosys, IBPS and SSC papers is one of these four cases.

28 solved questionsArithmetic AptitudeFree · no signup

Problems on Trains— Concepts, Formulas & Shortcuts

  • Convert units first: x km/h = x × 5/18 m/s, and y m/s = y × 18/5 km/h.
  • Train crossing a pole / man / signal post → distance = length of train.
  • Train crossing a platform / bridge / tunnel → distance = train length + platform length.
  • Opposite directions → relative speed = s₁ + s₂. Same direction → relative speed = s₁ − s₂.
  • Two trains crossing each other → distance = sum of the two train lengths.
  • If two trains start towards each other at the same time, distances covered are in the ratio of their speeds.

Problems on Trains Practice Questions with Answers

Attempt each question first, then open the explanation. All 28 questions below are free to read and require no signup.

  1. Q1.A train 125 m long passes a man running at 5 km/h in the same direction in 10 seconds. What is the speed of the train?

    Moderate
    • A45 km/h
    • B50 km/h
    • C54 km/h
    • D55 km/h
    +Show Answer & Explanation

    Answer: B. 50 km/h

    Explanation: Relative speed = 125/10 = 12.5 m/s = 12.5 × 18/5 = 45 km/h. Same direction, so train speed = 45 + 5 = 50 km/h.

    Problems on Trains question 1 of 28

  2. Q2.A train 240 m long crosses a platform 360 m long in 30 seconds. Its speed is:

    Easy
    • A60 km/h
    • B72 km/h
    • C80 km/h
    • D90 km/h
    +Show Answer & Explanation

    Answer: B. 72 km/h

    Explanation: Distance = 240 + 360 = 600 m in 30 s → 20 m/s = 20 × 18/5 = 72 km/h.

    Problems on Trains question 2 of 28

  3. Q3.Two trains 137 m and 163 m long run towards each other at 42 km/h and 48 km/h. In what time will they cross each other?

    Easy
    • A10 s
    • B12 s
    • C14 s
    • D15 s
    +Show Answer & Explanation

    Answer: B. 12 s

    Explanation: Relative speed = 42 + 48 = 90 km/h = 25 m/s. Total distance = 137 + 163 = 300 m. Time = 300/25 = 12 seconds.

    Problems on Trains question 3 of 28

  4. Q4.A train 100 m long crosses an electric pole in 5 seconds. Its speed is:

    Easy
    • A54 km/h
    • B60 km/h
    • C72 km/h
    • D80 km/h
    +Show Answer & Explanation

    Answer: C. 72 km/h

    Explanation: Crossing a pole means covering only its own length: 100/5 = 20 m/s = 72 km/h.

    Problems on Trains question 4 of 28

  5. Q5.A train running at 60 km/h crosses a 100 m long platform in 15 seconds. The length of the train is:

    Moderate
    • A120 m
    • B150 m
    • C160 m
    • D180 m
    +Show Answer & Explanation

    Answer: B. 150 m

    Explanation: 60 km/h = 50/3 m/s. Distance in 15 s = 50/3 × 15 = 250 m. Train length = 250 − 100 = 150 m.

    Problems on Trains question 5 of 28

  6. Q6.Two trains of equal length running at 46 km/h and 36 km/h in the same direction cross each other in 36 seconds. The length of each train is:

    Moderate
    • A50 m
    • B72 m
    • C80 m
    • D82 m
    +Show Answer & Explanation

    Answer: A. 50 m

    Explanation: Relative speed = 46 − 36 = 10 km/h = 25/9 m/s. Distance = 2L = 25/9 × 36 = 100 m, so L = 50 m.

    Problems on Trains question 6 of 28

  7. Q7.A train crosses a 150 m long bridge in 15 seconds and a pole in 6 seconds. The length of the train is:

    Moderate
    • A100 m
    • B120 m
    • C125 m
    • D150 m
    +Show Answer & Explanation

    Answer: A. 100 m

    Explanation: Speed is constant: L/6 = (L + 150)/15 → 15L = 6L + 900 → 9L = 900 → L = 100 m.

    Problems on Trains question 7 of 28

  8. Q8.A 300 m long train running at 90 km/h crosses a tunnel 500 m long in:

    Easy
    • A28 s
    • B30 s
    • C32 s
    • D36 s
    +Show Answer & Explanation

    Answer: C. 32 s

    Explanation: 90 km/h = 25 m/s. Distance = 300 + 500 = 800 m. Time = 800/25 = 32 seconds.

    Problems on Trains question 8 of 28

  9. Q9.Two trains start at the same time from A and B towards each other at 60 km/h and 75 km/h. When they meet, the second has travelled 40 km more than the first. The distance between A and B is:

    Difficult
    • A300 km
    • B320 km
    • C340 km
    • D360 km
    +Show Answer & Explanation

    Answer: D. 360 km

    Explanation: They travel for the same time, so distances are in the ratio 60 : 75 = 4 : 5. The 1-part difference = 40 km, so total = 9 parts = 360 km.

    Problems on Trains question 9 of 28

  10. Q10.A train travelling at 48 km/h completely crosses another train of half its length coming from the opposite direction at 42 km/h in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is:

    Difficult
    • A200 m
    • B300 m
    • C400 m
    • D450 m
    +Show Answer & Explanation

    Answer: C. 400 m

    Explanation: Relative speed = 90 km/h = 25 m/s → distance in 12 s = 300 m = L + L/2 = 1.5L, so L = 200 m. Train speed = 48 km/h = 40/3 m/s → in 45 s it covers 600 m = 200 + platform, so platform = 400 m.

    Problems on Trains question 10 of 28

  11. Q11.A train 150 m long running at 54 km/h crosses an electric pole in:

    Easy
    • A8 s
    • B10 s
    • C12 s
    • D15 s
    +Show Answer & Explanation

    Answer: B. 10 s

    Explanation: 54 km/h = 54 × 5/18 = 15 m/s. Crossing a pole covers only the train's length: 150/15 = 10 seconds.

    Problems on Trains question 11 of 28

  12. Q12.A train 200 m long crosses a bridge 300 m long in 25 seconds. Its speed is:

    Easy
    • A54 km/h
    • B64 km/h
    • C72 km/h
    • D80 km/h
    +Show Answer & Explanation

    Answer: C. 72 km/h

    Explanation: Distance = 200 + 300 = 500 m in 25 s → 20 m/s = 20 × 18/5 = 72 km/h.

    Problems on Trains question 12 of 28

  13. Q13.Two trains 100 m and 150 m long run in the same direction at 72 km/h and 54 km/h. The faster train crosses the slower in:

    Moderate
    • A40 s
    • B45 s
    • C50 s
    • D60 s
    +Show Answer & Explanation

    Answer: C. 50 s

    Explanation: Relative speed = 72 − 54 = 18 km/h = 5 m/s. Distance = 100 + 150 = 250 m → 250/5 = 50 seconds.

    Problems on Trains question 13 of 28

  14. Q14.A train 180 m long passes a man standing on the platform in 12 seconds. Its speed is:

    Easy
    • A48 km/h
    • B54 km/h
    • C60 km/h
    • D72 km/h
    +Show Answer & Explanation

    Answer: B. 54 km/h

    Explanation: 180/12 = 15 m/s = 15 × 18/5 = 54 km/h.

    Problems on Trains question 14 of 28

  15. Q15.A train running at 72 km/h crosses a platform in 30 seconds and a man standing on it in 18 seconds. The length of the platform is:

    Moderate
    • A180 m
    • B240 m
    • C300 m
    • D360 m
    +Show Answer & Explanation

    Answer: B. 240 m

    Explanation: Speed = 20 m/s. Train length = 20 × 18 = 360 m. Train + platform = 20 × 30 = 600 m, so the platform is 600 − 360 = 240 m.

    Problems on Trains question 15 of 28

  16. Q16.A 120 m long train crosses a tunnel 280 m long in 20 seconds. Its speed is:

    Easy
    • A60 km/h
    • B68 km/h
    • C72 km/h
    • D80 km/h
    +Show Answer & Explanation

    Answer: C. 72 km/h

    Explanation: Distance = 120 + 280 = 400 m in 20 s → 20 m/s = 72 km/h.

    Problems on Trains question 16 of 28

  17. Q17.Two trains, each 120 m long, run in opposite directions at 45 km/h and 63 km/h. They cross each other in:

    Moderate
    • A6 s
    • B8 s
    • C10 s
    • D12 s
    +Show Answer & Explanation

    Answer: B. 8 s

    Explanation: Relative speed = 45 + 63 = 108 km/h = 30 m/s. Distance = 240 m → 240/30 = 8 seconds.

    Problems on Trains question 17 of 28

  18. Q18.A train 250 m long passes a bridge 150 m long in 20 seconds. Its speed is:

    Easy
    • A54 km/h
    • B64 km/h
    • C72 km/h
    • D76 km/h
    +Show Answer & Explanation

    Answer: C. 72 km/h

    Explanation: Distance = 400 m in 20 s → 20 m/s = 72 km/h.

    Problems on Trains question 18 of 28

  19. Q19.A train 250 m long travelling at 45 km/h will cross a 500 m long platform in:

    Moderate
    • A45 s
    • B50 s
    • C60 s
    • D75 s
    +Show Answer & Explanation

    Answer: C. 60 s

    Explanation: 45 km/h = 12.5 m/s. Distance = 250 + 500 = 750 m → 750/12.5 = 60 seconds.

    Problems on Trains question 19 of 28

  20. Q20.A train overtakes two persons walking in the same direction at 2 km/h and 4 km/h, passing them completely in 9 and 10 seconds respectively. The length of the train is:

    Difficult
    • A45 m
    • B50 m
    • C54 m
    • D72 m
    +Show Answer & Explanation

    Answer: B. 50 m

    Explanation: Let the train's speed be v m/s. L = (v − 5/9)9 = 9v − 5 and L = (v − 10/9)10 = 10v − 100/9. Equating: v = 55/9 m/s, so L = 55 − 5 = 50 m.

    Problems on Trains question 20 of 28

  21. Q21.A train 300 m long crosses a pole in 15 seconds. Its speed is:

    Easy
    • A54 km/h
    • B60 km/h
    • C72 km/h
    • D80 km/h
    +Show Answer & Explanation

    Answer: C. 72 km/h

    Explanation: 300/15 = 20 m/s = 20 × 18/5 = 72 km/h.

    Problems on Trains question 21 of 28

  22. Q22.A train 400 m long crosses a platform 200 m long in 30 seconds. Its speed is:

    Easy
    • A60 km/h
    • B66 km/h
    • C72 km/h
    • D80 km/h
    +Show Answer & Explanation

    Answer: C. 72 km/h

    Explanation: Distance = 600 m in 30 s = 20 m/s = 72 km/h.

    Problems on Trains question 22 of 28

  23. Q23.Two trains, each 150 m long, run in opposite directions at 40 km/h and 50 km/h. They cross in:

    Moderate
    • A10 s
    • B12 s
    • C14 s
    • D16 s
    +Show Answer & Explanation

    Answer: B. 12 s

    Explanation: Relative speed = 90 km/h = 25 m/s; distance = 300 m → 300/25 = 12 seconds.

    Problems on Trains question 23 of 28

  24. Q24.A train 200 m long running at 36 km/h crosses a bridge 100 m long in:

    Easy
    • A24 s
    • B27 s
    • C30 s
    • D36 s
    +Show Answer & Explanation

    Answer: C. 30 s

    Explanation: 36 km/h = 10 m/s; distance = 300 m → 30 seconds.

    Problems on Trains question 24 of 28

  25. Q25.A train running at 54 km/h crosses a man standing on a platform in 8 seconds. Its length is:

    Moderate
    • A100 m
    • B110 m
    • C120 m
    • D150 m
    +Show Answer & Explanation

    Answer: C. 120 m

    Explanation: 54 km/h = 15 m/s → length = 15 × 8 = 120 m.

    Problems on Trains question 25 of 28

  26. Q26.Two trains 100 m and 150 m long run in the same direction at 60 km/h and 40 km/h. The faster crosses the slower in:

    Difficult
    • A36 s
    • B40 s
    • C45 s
    • D50 s
    +Show Answer & Explanation

    Answer: C. 45 s

    Explanation: Relative speed = 20 km/h = 50/9 m/s; distance = 250 m → 250 ÷ 50/9 = 45 seconds.

    Problems on Trains question 26 of 28

  27. Q27.A train 240 m long crosses a tunnel 360 m long in 24 seconds. Its speed is:

    Moderate
    • A72 km/h
    • B80 km/h
    • C90 km/h
    • D96 km/h
    +Show Answer & Explanation

    Answer: C. 90 km/h

    Explanation: Distance = 600 m in 24 s = 25 m/s = 90 km/h.

    Problems on Trains question 27 of 28

  28. Q28.A train travelling at 90 km/h crosses a 300 m platform in 24 seconds. The length of the train is:

    Moderate
    • A240 m
    • B280 m
    • C300 m
    • D320 m
    +Show Answer & Explanation

    Answer: C. 300 m

    Explanation: 90 km/h = 25 m/s → total distance = 600 m; train = 600 − 300 = 300 m.

    Problems on Trains question 28 of 28

Problems on Trains — Frequently Asked Questions

What is the shortcut to convert km/h to m/s?+

Multiply by 5/18. For example 72 km/h = 72 × 5/18 = 20 m/s. To go the other way, multiply m/s by 18/5.

Why do we add lengths when two trains cross?+

Crossing is complete only when the rear of the second train clears the rear of the first, so the total distance covered relative to each other equals the sum of both lengths.

How many train questions appear in 2026 placement papers?+

Typically 1–3 questions in TCS NQT, Infosys and bank PO prelims, and they are among the fastest marks available once you fix the four standard cases.

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