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A man rows 24 km upstream in 6 hours and 36 km downstream in 6 hours each time, then the speed of the boat in the still water is

Solution

✅ Correct Option: 1

Distance upstream = 24 km

Time taken = 6 hours

Upstream speed = DistanceTime\frac{\text{Distance}}{\text{Time}}

Upstream speed = 246\frac{24}{6}

Upstream speed = 44 km/hr


Distance downstream = 36 km

Time taken = 6 hours

Downstream speed = 366\frac{36}{6}

Downstream speed = 66 km/hr


The speed of the boat in still water is the average of upstream and downstream speeds.

Speed in still water = Upstream speed + Downstream speed2\frac{\text{Upstream speed + Downstream speed}}{2}

Speed in still water = 4+62\frac{4 + 6}{2}

Speed in still water = 102\frac{10}{2}

Speed in still water = 55 km/hr

Therefore, the speed of the boat in still water is 55 km/hr.

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