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1. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

A. 12 sec

B. 24 sec

C. 48 sec

D. 60 sec

Solution:

\begin{aligned} Relative speed \\ = (45 + 30) km/hr \\ = (75 \times \frac{5}{18}) m/sec \\ = \frac{125}{6} m/sec \\ We have to find the time taken by the \\ slower train to pass the DRIVER of \\ The faster train and not the complete train . \\ So, distance covered = Length of the slower train . \\ Therefore, Distance covered = 500 m . \\ ∴ Required time \\ = 500 \times \frac{6}{125} \\ = 24 \sec \end{aligned}

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