Question 405228
Suppose it takes you 6.8 hours to fly about 2800 miles from Miami, Florida to Seattle, Washinghton.
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At the same time, your friend flies from Seattle to miami. His plane travels with the same average air speed, but his fight takes only 5.6 hours. 
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Find the average airspeed of the planes. Find the average wind speed?
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Miam to Seat DATA:
distance = 2800 miles ; time = 6.8 hrs ; rate = 2800/6.8 mph
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Seat to Miam DATA:
distance = 2800 miles ; time = 5.6 hrs ; rate = 2800/5.6 mph
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Equation:
Let p = plane speed; and w = wind speed.
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p + w = 2800/5.6
p - w = 2800/6.8
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2p = 911.76
p = 455.88 mph (speed of the plane in still air)
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Solve for "w":
p + w = 2800/5.6
455.88 + w = 500
w = 44.12 mph (speed of the wind)
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Cheers,
Stan H.
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