Flying with a tailwind, a flight crew flew 500 km in 4 hours. Flying against the tailwind, the crew flew 468 km in 4 hours. Find the speed o

Question

Flying with a tailwind, a flight crew flew 500 km in 4 hours. Flying against the tailwind, the crew flew 468 km in 4 hours. Find the speed of the plane in calm air and the speed of the wind, both in km per hour.

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Minh Khuê 4 years 2021-07-21T19:58:54+00:00 1 Answers 24 views 0

Answers ( )

  1. thucuc
    0
    2021-07-21T20:00:21+00:00
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    Answer:

    spped of the plane in calm air=121 km/h

    speed of the wind= 4km/h

    Step-by-step explanation:

    Let say V the speed of the plane in calm air

    and v the speed of the wind

    Flying with a tailwind, a flight crew flew 500 km in 4 hours ==> 500= (V+v)*4

    Flying against the tailwind, the crew flew 468 km in 4 hours ==> 468 = (V-v)*4

    We divide the 2 equations by 4 and then add the 2 results equations:

    (500+468)/4=2V ==> V=121 (km/h)

    We replace that value in the first equation:

    V+v=500/4=125

    v=125-121=4 (km/h)

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