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3 July, 00:57

On average, Jaimie can bike five times as fast as he can run. To travel 25 km, he needs 2 h more if he is running than if he is biking. What is his average running speed

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  1. 3 July, 01:21
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    Answer: Running speed is 10k/h

    Biking speed is 50k/h

    Step-by-step explanation:

    My procedure may be unconventional, but it works:

    Compute the time it takes, then translate to speed. 25k at biking speed takes 2 hours less than at running speed which is 1/5 bike speed.

    Distance/speed = time 25/x=25 / (5x-2) cross multiply divisors

    25 (5x-2) = 25x = => 125x - 50 = 25x = => 100x = 50

    x = 0.5 hours at biking speed 25k/0.5h = 50k/h

    Running speed = 50/5 10k/h

    Proof: 25k / 10k/h = 2.5 hours

    25k / 50k/h = 0.5 hours

    2.5 h -.5 h = 2 hours, the difference stated in the question.
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