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24 February, 09:48

Marcus can walk 1 mile to the library in about the same time he can bicycle 2.5 miles to the sporting good store. His speed on the bicycle is 6 mi/h faster than his walking speed What is Marcus's walking speed?

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  1. 24 February, 10:10
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    Answer: Marcus's walking speed is 4 mph

    Step-by-step explanation:

    Let x represent Marcus's walking speed.

    His speed on the bicycle is 6 mi/h faster than his walking speed. This means that his speed on the bicycle would be

    x + 6

    Time = distance/speed

    Time spent by Marcus in walking 1 mile to the library is

    1/x

    Time spent by Marcus in bicycling 2.5 miles to the sporting good store is

    2.5 / (x + 6)

    Since the time that he spends in walking to the library is about the same time that he spends in bicycling to the sporting good store, then

    1/x = 2.5 / (x + 6)

    Cross multiplying, it becomes

    1 * (x + 6) = 2.5 * x

    x + 6 = 2.5x

    2.5x - x = 6

    1.5x = 6

    x = 6/1.5 = 4
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