Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kilometers in 9

Question

Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?​

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RobertKer 3 months 2021-07-19T21:53:31+00:00 1 Answers 1 views 0

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    2021-07-19T21:54:57+00:00

    Let s be the plane’s speed in still air and w the wind speed. Then

    sw = (6060 km)/(6 h) = 1010 km/h

    s + w = (12,150 km)/(9 h) = 1350 km/h

    Adding these equations together eliminates w and lets you solve for s :

    (sw) + (s + w) = 1010 km/h + 1350 km/h

    2s = 2360 km/h

    s = 1180 km/h

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