A train runs at 36 km/h and crosses a standing man in 10 seconds. In how many seconds will it cross a platform 55 m long?

Difficulty: Easy

Correct Answer: 15.5 seconds

Explanation:


Introduction / Context:
Crossing a man reveals the train length; crossing a platform requires covering train length plus platform length at the same speed. Convert consistently between units.



Given Data / Assumptions:

  • Speed = 36 km/h = 10 m/s.
  • Man-cross time = 10 s → train length L = 10 * 10 = 100 m.
  • Platform length = 55 m.


Concept / Approach:
Platform-cross time = (L + platform length) / speed.



Step-by-Step Solution:
L = 100 m.Time over platform = (100 + 55) / 10 = 15.5 s.



Verification / Alternative check:
At 10 m/s, 15.5 s covers 155 m, exactly train + platform.



Why Other Options Are Wrong:
5.5, 6, 7.5 s are too short to cover 155 m at 10 m/s.



Common Pitfalls:
Using only platform length instead of adding train length.



Final Answer:
15.5 seconds

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