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28 August, 11:14

As part of a conditioning program, a jogger ran 12 mi in the same amount of time as it took a cyclist to ride 24 mi. The rate of the cyclist was 12 mph faster than the rate of the jogger. Find the rate of the jogger and the rate of the cyclist.

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  1. 28 August, 11:31
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    Distance = time * speed

    let x be rate of the cyclist

    x-12 = the rate of the jogger

    they have the same time

    so: 12mi / (x-12) mph = 24mi / x mph

    12x=24 (x-12)

    288=12x

    x=24

    rate of the cyclist = 24 mph

    rate of the jogger = 12 mph
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