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29 November, 07:18

Jessica can bike an average of 15 mph without wind. One day, Jessica does a 20 mile ride against the wind in the same time that she does a 40 mile ride with the wind. What is the speed of the wind?

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  1. 29 November, 07:33
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    Answer: the speed of the wind is 5mph

    Step-by-step explanation:

    Let x represent the speed of the wind.

    Jessica can bike an average of 15 mph without wind. One day, Jessica does a 20 mile ride against the wind in the same time that she does a 40 mile ride with the wind. This means that her total speed against the wind is (15 - y) mph and her total speed with the wind is (15 + y) mph.

    Time = speed * time

    Time spent in travelling against the wind is

    20 / (15 - y)

    Time spent in travelling with the wind is

    40 / (15 + y)

    Since the time is the same, it means that

    20 / (15 - y) = 40 / (15 + y)

    Cross multiplying, it becomes

    40 (15 - y) = 20 (15 + y)

    600 - 40y = 300 + 20y

    20y + 40y = 600 - 300

    60y = 300

    y = 300/60

    y = 5 mph
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