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Relative Velocity in 2D

A boat takes ...

Question

A boat takes $2$ hours to travel $8 k m$ and back in still water lake. With water velocity of $4 k m / h$ , the time taken for going upstream of $8 k m$ and coming back is

160 m i n u t e s

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80 m i n u t e s

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100 m i n u t e s

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120 m i n u t e s

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Solution

The correct option is A $160 m i n u t e s$
Velocity of boat $= \frac{8 + 8}{2} = 8 k m / h$
Velocity of water $= 4 k m / h$
$⟹ t = \frac{8}{8 - 4} + \frac{8}{8 + 4}$

$= \frac{8}{3} h$ $= 160 m i n u t e s$

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a boat takes 2hrs to travel 8km and back in still water lake.with water velocity of 4kmph,the time taken for going upstream of 8km and coming back is

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