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(D) Let the speed of Rohit in still water be $x$ $km/hr$ and the speed of the stream be $y = 5$ $km/hr$.Let the distance be $d$ $km$.Downstream speed

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(D) Let the speed of Rohit in still water be $x$ $km/hr$ and the speed of the stream be $y = 5$ $km/hr$.Let the distance be $d$ $km$.Downstream speed = $(x + y)$ $km/hr$.Upstream speed = $(x - y)$ $km/hr$.Given that time taken downstream is $8$ $hours$: $d = 8(x + 5) = 8x + 40$ $...(i)$.Given that time taken upstream is $12$ $hours$: $d = 12(x - 5) = 12x - 60$ $...(ii)$.Equating $(i)$ and $(ii)$:$8x + 40 = 12x - 60$$4x = 100$$x = 25$ $km/hr$.Thus,the speed of Rohit in still water is $25$ $km/hr$.

Rohit can row a certain distance downstream in $8$ $hours$ and return the same distance in $12$ $hours$. If the stream flows at the rate of $5$ $km/hr$,find the speed of Rohit in still water (in $km/hr$).

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