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23 August, 11:50

A commercial jet can fly 1,320 miles in 3 hours with a tailwind but only 1,170 miles in 3 hours into a headwind. Find the speed of the jet in still air and the speed of the wind.

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  1. 23 August, 13:23
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    Jet: 415 mph

    Wind: 25 mph

    Step-by-step explanation:

    If x is the speed of the jet in still air, and y is the speed of the wind, then:

    x + y = 1320 / 3 = 440

    x - y = 1170 / 3 = 390

    Solve the system of equations with substitution or elimination. Using elimination:

    2x = 830

    x = 415

    y = 25
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