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14 August, 19:06

James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream in the same amount of time that he can travel 4 miles upstream, what is the speed of the current?

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  1. 14 August, 19:32
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    Answer: the speed of the current is 0.6 mph

    Step-by-step explanation:

    Let x represent the speed of the current.

    James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream. Assuming he went with the current, it means that his total speed while travelling downstream is (3 + x)

    Time = distance/speed

    Time taken to travel downstream is

    6 / (3 + x)

    In the same amount of time, he can travel 4 miles upstream. Assuming he went against the current, it means that his total speed while travelling downstream is (3 - x). Time taken to travel upstream is

    4 / (3 - x)

    Since the time is the same, then

    6 / (3 + x) = 4 / (3 - x)

    Cross multiplying, it becomes

    6 (3 - x) = 4 (3 + x)

    18 - 6x = 12 + 4x

    4x + 6x = 18 - 12

    10x = 6

    x = 6/10

    x = 0.6 mph
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