Question 117765
A plane traveled 864 miles to Kampala and back. The trip there was with the wind. It took 9 hours. The trip back was into the wind. The trip back took 16 hours. Find the speed of the plane in still air and the speed of the wind. show work.
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Let plane speed be "p"; Let wind speed be "w".
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To Kampala DATA:
Distance = 864 miles ; Time = 9 hrs. Rate = 864/9 = 96 mph
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From Kampala DATA:
Distance = 864 miles ; time = 16 hrs ; Rate = 864/(16) = 54 mph
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EQUATIONS:
p+w = 96
p-w = 54
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2p = 150
p = 75 mph (speed of the plane in still air)
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75+w = 96
w = 21 mph (speed of the wind)
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Cheers,
Stan H.