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Relative Velocity

A boat takes ...

Question

A boat takes $2 h o u r s$ to travel $8 k m$ and back in a 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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320 m i n u t e s

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180 m i n u t e s

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Solution

The correct option is B $160 m i n u t e s$
Speed of boat relative to water $= 8 k m / h$
Speed downstream $= 12 k m / h$
Speed upstream $= 4 k m / h$
Time taken with water flow $= \frac{8}{12} + \frac{8}{4} h r s = 2 + \frac{2}{3} h r s = 160 m i n$

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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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