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20 January, 05:12

Alberta went on a kayaking trip. She traveled 2 miles upstream in the same amount of time that she spent kayaking 6 miles downstream. The water's current was 2 miles per hour. What was her average rate of speed?

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  1. 20 January, 08:28
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    4 mph

    Step-by-step explanation:

    Givens

    Current = c = 2 mph

    Alberta = r = ?

    d = 2 mph upstream

    d1 = 6 mph downstream

    Formula

    d = r * t

    The time is the same so the formula becomes d/r = t

    2 / (r - 2) = 6 / (r + 2)

    Solution

    Cross Multiply

    2 * (r + 2) = 6 * (r - 2)

    2r + 4 = 6r - 12 Subtract 2r from both sides

    4 = 6r - 2r - 12 Combine the right.

    4 = 4r - 12 Add 12 to both sides.

    4 + 12 = 4r

    16 = 4r Divide by 4

    16/4 = 4r/4

    r = 4

    Alberta's rate of travel is 4 mph
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