Question

An airplane takes 1 hour longer to go a distance of 551 miles flying against a headwind than on the return trip with a tailwind. if the speed of the wind is 50 miles per hour, find the speed of the plane in still air.

Answer 1

Let
`v_p` be the speed of the plane in still air. Let
`t` be the time taken by the plane with the wind. Then, from the given information,

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From the above 2 equations,

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Dividing the above 2 equations,

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The speed of the plane in still air is
`105.45 \;mi/hour`.