A boat takes 3 hours to travel from place M t | vedclass

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(D) Let the distance between $M$ and $N$ be $d$ $km$ and the speed of the stream be $y$ $km/h$.Given,speed of the boat in still water $u = 4$ $km/h$.T

Vedclass · Accepted Answer

Data inadequate

Vedclass · Answer

(D) Let the distance between $M$ and $N$ be $d$ $km$ and the speed of the stream be $y$ $km/h$.Given,speed of the boat in still water $u = 4$ $km/h$.Time taken for downstream journey = $\frac{d}{u+y} = \frac{d}{4+y}$.Time taken for upstream journey = $\frac{d}{u-y} = \frac{d}{4-y}$.Total time taken = $\frac{d}{4+y} + \frac{d}{4-y} = 3$.$\frac{d(4-y) + d(4+y)}{(4+y)(4-y)} = 3$.$\frac{8d}{16-y^2} = 3$.$8d = 3(16-y^2)$.Since there are two variables ($d$ and $y$) and only one equation,the distance $d$ cannot be determined uniquely without knowing the speed of the stream $y$. Thus,the data is inadequate.

$A$ boat takes $3$ $hours$ to travel from place $M$ to $N$ downstream and back from $N$ to $M$ upstream. If the speed of the boat in still water is $4$ $km/h$,what is the distance between the two places? (in $km$)

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