SOLUTION: A plane with a tail wind makes a 650 mile trip in 1 hour. It would take 2 hours to make the return trip against the same wind. Find the rate of the plane in still air.

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Question 395754: A plane with a tail wind makes a 650 mile trip in 1 hour. It would take 2 hours to make the return trip against the same wind. Find the rate of the plane in still air.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A plane with a tail wind makes a 650 mile trip in 1 hour. It would take 2 hours to make the return trip against the same wind. Find the rate of the plane in still air.
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With-wind DATA:
distance = 650 miles ; time = 1 hr ; rate = d/t = 650 mph
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Against-wind DATA:
distance = 650 miles ; time = 2 hr ; rate = d/t = 650/2 = 325 mph
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Equations:
p + w = 650 mph
p - w = 325 mph
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Add ans solve for "p":
2p = 975 mph
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p = 487.5 mph (speed of the plane in still air)
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Solve for "w":
p + w = 650
487.5 + w = 650
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w = 650-487.5
w = 162.50 mph (speed of the wind)
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Cheers,
Stan H.
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