Discussion Forum

If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, If he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival the train. Find the distance covered by him to reach the station.

Answer:

Explanation:

Let the required distance be $x$ km.

Difference in the times taken at two speeds = 12 min $=\frac{1}{5}$ hr

$\left(\frac{x}{5}-\frac{x}{6}\right)$ $=\frac{1}{5}$ $\Leftrightarrow 6x-5x=6$ $\Leftrightarrow x=6$

Hence, the required distance is 6 km.