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7 September, 05:59

A private jet flies the same distance in 9 hours that a commercial jet flies in 8 hours. If the speed of the commercial jet was 175mph less than 2 times the speed of the private jet, find the speed of each jet.

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  1. 7 September, 08:17
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    Private jet is 200 mph

    Commercial jet is 225 mph

    Explanation:

    Let the speed of private jet be x mph therefore the speed of commercial jet will be 2x-175 mph

    The distance is the same

    Speed is distance per unit time hence distance is product of speed and time

    Distance by private jet is 9x

    Distance by commercial jet is 8 (2x-175)

    Since the distance is the same

    9x=8 (2x-175)

    9x=16x-1400

    7x=1400

    X=200

    Then 2x-175 = 400-175=225

    Speed of private jet is 200 mph while commercial jet is 225 mph
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