A boat running downstream covers a distance o | vedclass

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(A) Let the speed of the boat in still water be $x\, km/h$ and the speed of the stream be $y\, km/h$.According to the problem,the downstream speed is

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(A) Let the speed of the boat in still water be $x\, km/h$ and the speed of the stream be $y\, km/h$.According to the problem,the downstream speed is $x + y = \frac{	ext{Distance}}{	ext{Time}} = \frac{20}{2} = 10\, km/h$ $....(i)$Similarly,the upstream speed is $x - y = \frac{	ext{Distance}}{	ext{Time}} = \frac{20}{5} = 4\, km/h$ $....(ii)$Adding equation $(i)$ and equation $(ii)$:$(x + y) + (x - y) = 10 + 4$$2x = 14$$x = 7\, km/h$Thus,the speed of the boat in still water is $7\, km/h$.

$A$ boat running downstream covers a distance of $20\, km$ in $2\, h$ while it covers the same distance upstream in $5\, h$. Then,the speed of the boat in still water is ....... $km/h$.

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