A man walks a certain distance and rides back | vedclass

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Question

(D) Let the time taken to walk one way be $W$ and the time taken to ride one way be $R$.According to the problem,walking one way and riding back takes

Vedclass · Accepted Answer

$6 \, h$

Vedclass · Answer

(D) Let the time taken to walk one way be $W$ and the time taken to ride one way be $R$.According to the problem,walking one way and riding back takes $4 \, h \, 30 \, min$,which is $4.5 \, h$:$W + R = 4.5 \, h$  --- (Equation $1$)It is given that riding both ways takes $3 \, h$:$2R = 3 \, h \Rightarrow R = 1.5 \, h$  --- (Equation $2$)Substitute the value of $R$ from Equation $2$ into Equation $1$:$W + 1.5 = 4.5$$W = 4.5 - 1.5 = 3 \, h$The time required to walk both ways is $2W$:$2W = 2 	imes 3 = 6 \, h$.

$A$ man walks a certain distance and rides back in $4 \, h \, 30 \, min$. He could ride both ways in $3 \, h$. The time required by the man to walk both ways is?

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