SOLUTION: flying to kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112 km/h while flying back into the same wind. find the speed of the wind an

Question 493367: flying to kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane in still air.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
flying to kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane in still air.
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Let plane speed be "p".
Let wind speed be "w".
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Equations:
p + w = 158
p - w = 112
----
2p = 270
p = 135 mph (plane speed)
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Solve for "w":
p + w = 158
135 + w = 158
w = 23 mph (wind speed)
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Cheers,
Stan H.
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