Question 388516: a plane can travel 1260 miles in 2 hours. the return trip takes a half an hour longer. find the wind speed.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a plane can travel 1260 miles in 2 hours.
the return trip takes a half an hour longer.
find the wind speed.
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With-wind DATA:
distance = 1260 miles ; time = 2 hrs ; Rate = 1260/2 = 630 mph
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Against-wind DATA:
distance = 1260 miles ; time = 5/2 hrs ; Rate=1260/(5/2) = 504 mph
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Equations:
P + w = 630
P - w = 504
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2p = 1134
p = 567 (speed of the plane in still air)
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Since p+w = 630, w = 630-567 = 63 mph (speed of the wind)
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Cheers,
Stan H.
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