SOLUTION: Suppose it takes you 6.8 hours to fly about 2800 miles from Miami, Florida to Seattle, Washinghton. At the same time, your friend flies from Seattle to miami. His plane travels wit

Question 405228: Suppose it takes you 6.8 hours to fly about 2800 miles from Miami, Florida to Seattle, Washinghton. 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. Find the average airspeed of the planes. Find the average wind speed?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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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