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19 February, 03:59

With a certain tailwind, an airplane reached its destination, 630 miles away, in 1 1/2 hours. Flying

back against the same wind, the plane took 15 minutes longer to make the trip. Find the wind speed and the airplanes airspeed.

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  1. 19 February, 05:54
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    V=390mph and W=30mph

    Step-by-step explanation:

    Let V be the speed of the airplane and W the speed of the wind.

    We have two travels and the formula v=d/t:

    V+W=630miles/1.5hr (With the wind)

    V-W=630miles/1.75hr (agains the wind)

    Clear V from the 1st equation. V = (630/1.5) - W

    And replace it into the 2nd equation:

    (630/1.5) - W-W=630/1.75

    420-2W=360

    420-360=2W

    W = 60/2

    W = 30mi/hr is the wind speed.

    Now, we can find V using one equation:

    V = (630/1.75) + 30 = 360+30

    V=390mi/hr is the speed of the airplane.
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