A boat takes 4 hrs to travel certain distance in a river in down stream and it takes 6 hrs to travel the same distance in upstream. Then the time taken by the boat to travel the same distance in still water is

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24 hrs

9.8 hrs

4.8 hrs

10 hrs

answer is A.

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Detailed Solution

$t_{1} = \frac{d}{V_{B} + V_{W}}, t_{2} = \frac{d}{V_{B} - V_{W}}, t_{3} = \frac{d}{V_{B}}$ $\Rightarrow t_{3} = \frac{2 t_{1} t_{2}}{t_{1} + t_{2}} = 4.8 h r s$

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