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A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is

A. 45 km/hr

B. 50 km/hr

C. 54 km/hr

D. 55 km/hr

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Correct Answer : B.

S p e e d o f t h e t r a i n r e l a t i v e t o m a n = (\frac{125}{10}) m / s e c = (\frac{25}{2}) m / s e c . = (\frac{25}{2} x \frac{18}{5}) k m / h r = 45 k m / h r . L e t t h e s p e e d o f t h e t r a i n b e x k m / h r . T h e n, r e l a t i v e s p e e d = (x - 5) k m / h r . ∴ x - 5 = 45 \Rightarrow x = 50 k m / h r .

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