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16 August, 14:02

A boat travels upstream for 96 miles in 4 hours and returns in 3 hours traveling downstream in a river. What is the rate of the boat in still water and what is the rate of the current?

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  1. 16 August, 17:02
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    Speed of boat in still water = 28 miles/hr

    Speed of current = 4 miles/hr

    Step-by-step explanation:

    Speed upstream, u = 96/4 = 24 miles/hr

    Speed downstream, v = 96/3 = 32 miles/hr

    Speed of boat in still water = ½ (v+u)

    = ½ (24 + 32) = 28 miles/hr

    Speed of the current = ½ (v - u)

    = ½ (32 - 24) = 4 miles/hr
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