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MathematicsMathematics
13 July, 18:53

jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fast does she walk?

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  1. 13 July, 22:02
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    12.8mph

    Step-by-step explanation:

    Let 'w' represent her walking speed

    ->if her jogging speed is 8mph faster than her walking speed

    Jogging speed = w+8

    Using the time equation i. e time = dist/speed

    For walking when distance is 8miles

    time = dist / speed = 8/w hrs

    For jogging when distance is 13miles

    time = dist / speed = 13 / (w+8) hrs

    Equating the time

    jog time = walk time

    13 / (w+8) = 8/w

    By cross multiplying it

    13w = 8w + 64

    5w = 64

    w=64/5

    w=12.8mph

    Therefore, 12.8mph is her walking speed.
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