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A 500 m long train crosses a 200 m long platform in 10 seconds. Find the time taken by the train to cross a person running in the same direction at 20 m/s.

1. 12 seconds
2. 10 seconds
3. 15 seconds
4. 18 seconds

Correct answer: 10 seconds

Solution

The train covers 500 + 200 = 700 m in 10 s, so its speed is 70 m/s. A person running in the same direction at 20 m/s gives relative speed 70 - 20 = 50 m/s, and the train length is 500 m, so time = 500/50 = 10 s.

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