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24 June, 15:41

Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downstream (with the current) the same distance in 1 hour. The equations represent x, the paddling speed, and y, the speed of the current. 2 (x - y) = a

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  1. 24 June, 15:44
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    We calculate both velocities:

    upstream 8 miles in 2 hours = 4 miles / hour

    downstream 8 miles in 1 hour = 8 miles / hour

    ps - stream speed = 4 mph

    ps + stream speed = 8 mph

    Adding both equations

    2 ps = 12 mph

    paddling speed = 6 mph

    stream speed = 2 mph
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