SOLUTION: A plane can fly 365 mph in still air. If it can fly 215 miles downwind in the same amount of time it can fly 150 miles upwind, find the velocity of the wind.

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Question 835335: A plane can fly 365 mph in still air. If it can fly 215 miles downwind in the same amount of time it can fly 150 miles upwind, find the velocity of the wind.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A plane can fly 365 mph in still air. If it can fly 215 miles downwind in the same amount of time it can fly 150 miles upwind, find the velocity of the wind.
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Downwind DATA:
distance = 215 miles ; rate = 365+c ; time = d/r = 215/(365+c) hrs
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Upwind DATA::
distance = 150 miles ; rate = 365-c ; time = 150/(365-c) hrs
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Equation:
time up = time down
150/(365-w) = 215/(365+w)
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150(365+w) = 215(365-w)
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150*365 + 150w = 215*365 - 215w
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365w = 65*365
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wind = 65 mph
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Cheers,
Stan H.
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