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Question

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.


Options:
A .  16 km.
B .  18 km.
C .  20 km.
D .  22 km.
Answer: Option C

Average speed = `((2xy)/(x + y))` km/hr    = `((2 xx 25 xx 4)/(25 + 4))` km/hr = `200/29`km/hr.

Distance travelled in 5 hours 48 minutes i.e.  `5 4/5` hrs. = `(200/29 xx 29/5)` km =  40 m.

`:.`     Distance of the post-office from the village= `40/2` = 20 km.



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