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Time and Work

A train 100 m...

Question

A train 100 meters long takes 6 seconds to cross a man walking at 5km/h in a direction opposite to that of the train. The speed of the train is

A

50 km/h

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B

55 km /h

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C

57 km/h

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D

60 km/h

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Solution

The correct option is B 55 km /h
$\begin{matrix} G i v e n, s p e e d = 100 t i m e = 6 sec s p e e d o f t r a i n = \frac{100}{6} - s p e e d o f m a n = 16.66 - 1.38 m / s = 15.286 m / s \end{matrix}$
$= 15.286 \times \frac{18}{5} = 55 k m / h$

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