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5 October, 16:08

A cyclist rode 1 mile at full speed in 3 minutes with the wind and returned in 4 minutes against the wind, again pedaling at full speed. Find his speed without the wind. ("Challenge" question)

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  1. 5 October, 19:51
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    So 1 mile per 3 minute or

    1 times 20=20

    3 times 20=60

    20 miles in 60 minutes or

    20 miles per hour

    20 mph with wind

    4 mins agains the wind

    multiply 15

    15 miles per hour agains the wind

    so d=st

    distances are the same

    d=st

    20mph with the wind

    20=wind+real speed

    15mph agains the wind

    15=real speed-wind

    20=w+rs

    15=-w+rs

    add together

    35=2 (rs)

    divide 2

    real speed=17.5
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