A man travelled from the village to the post | vedclass

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Question

(C) Let the distance between the village and the post office be $d \, km$.Time taken to go to the post office $= \frac{d}{25} \, hours$.Time taken to

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(C) Let the distance between the village and the post office be $d \, km$.Time taken to go to the post office $= \frac{d}{25} \, hours$.Time taken to return from the post office $= \frac{d}{4} \, hours$.Total time taken $= 5 \, hours \, 48 \, minutes = 5 + \frac{48}{60} \, hours = 5 + \frac{4}{5} = \frac{29}{5} \, hours$.According to the problem,$\frac{d}{25} + \frac{d}{4} = \frac{29}{5}$.Taking the $LCM$ of $25$ and $4$,which is $100$,we get: $\frac{4d + 25d}{100} = \frac{29}{5}$.$\frac{29d}{100} = \frac{29}{5}$.$d = \frac{29}{5} 	imes \frac{100}{29} = 20 \, km$.Thus,the distance of the post office from the village is $20 \, km$.

$A$ man travelled from the village to the post office at the rate of $25 \, km/hr$ and walked back at the rate of $4 \, km/hr$. If the whole journey took $5 \, hours \, 48 \, minutes$,find the distance of the post office from the village (in $km$).

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