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22 June, 21:40

Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find Alicia's rowing rate each way. Round your answers to the nearest tenth, if necessary.

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  1. 22 June, 21:51
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    Let us assume the upstream rowing rate of Alicia = x

    Let us assume the downstream rowing rate of Alicia = y

    We already know that

    Travelling time = Distance traveled/rowing rate

    Then

    6 / (x + 3) = 4/x

    6x = 4x + 12

    6x - 4x = 12

    2x = 12

    x = 6

    Then

    Rowing rate of Alicia going upstream = 6 miles per hour

    Rowing rate of Alicia going downstream = 9 miles per hour.
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