Question 701475: Hello, I need help with a question. I have tried but I couldn't get it.
"A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 hours. Find the average airspeed of the plane and the average windspeed"
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 hours. Find the average airspeed of the plane and the average windspeed
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Base to an airport DATA:
dist = 255 miles ; time = 1.7 hrs ; rate = d/t = 255/1.7 mph
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Airport to base DATA:
dist = 255 miles ; time = 1.5 hrs ; rate = d/t = 255/1.5 mph
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Let p = plane speed and w = wind speed
Equations:
p + w = 255/1.5 mph
p - w = 255/1.7 mph
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Add and solve for "p":
2p = [255/1.5 + 255/1.7]
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p = (127.5/1.5 + 127/1.7]
p = 160 (plane's speed in still air)
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Solve for "w":
p - w = 255/1.7
160 - w = 255/1.7
w = 160-(255/1.7)
w = 10 mph (speed of the wind)
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Cheers,
Stan H.
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