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1. 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

Solution:

\begin{aligned} Speed of the train relative to man \\ = \frac{125}{10} m/sec \\ = \frac{25}{2} m/sec \\ = \frac{25}{2} \times \frac{18}{5} km/hr \\ = 45 km/hr \\ Let the speed of the train be x km/hr . \\ Then, relative speed = (x - 5) km/hr \\ ∴ x - 5 = 45 \\ \Rightarrow x = 50 km/hr \end{aligned}

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