A boy traveled from the village to the post-office at the rate of 12.5 kmph and walked back at the rate of 2 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village.

5 km.

7 km.

9 km.

10 km.

Solution: Average speed = 2xy/(x+y) km/hr = (2*12.5*2)/(12.5+2) km/hr = 50/14.5 km/hr. Total distance = (50/14.5 * 29/5) km. = 20 km. Required distance = 20/2 = 10 km.

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