A moving train crosses a man standing on a plat form and a bridge 300 meters long in 10 seconds and 25seconds respectively. What will be the time taken by the train to cross a platform 200 meters long?

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20 seconds

22 Seconds

50/3 seconds

18 seconds

answer is C.

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Detailed Solution

Given that a moving train crosses a man standing on a plat form and a bridge 300 meters long in 10 seconds and 25seconds respectively

The train crosses the platform whose lenght is 300 meters in $25 - 10 = 15$ sec

Hence, the speed of the train is $\frac{300}{15} = 20 m / s e c$

The length of the train is $10 \cdot 20 = 200 m e t e r s$

Time taken by the train to cross the platform 200 meters long is $\frac{200 + 200}{20} = 20 s e c$

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