Discussion Forum

A man travelled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village.

Answer:

Explanation:

Average speed $=\frac{2xy}{x+y}$ km/hr $=\frac{2\times25\times4}{25+4}$ km/hr $=\frac{200}{29}$ km/hr

Distance travelled in 5 hours 48 minutes i.e., $5\frac{4}{5}$ hrs $=\left(\frac{200}{29}\times\frac{29}{5}\right)$ km $=40$km

Distance of the post-office from the village $=\frac{40}{20}$ = 20km.