SOLUTION: A plane can fly 580 mph in still air. If it can fly 600 miles downwind in the same amount of time it can fly 560 miles upwind, find the velocity of the wind.
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Question 795039: A plane can fly 580 mph in still air. If it can fly 600 miles downwind in the same amount of time it can fly 560 miles upwind, find the velocity of the wind. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A plane can fly 580 mph in still air. If it can fly 600 miles downwind in the same amount of time it can fly 560 miles upwind, find the velocity of the wind.
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Still-air DATA:
Rate = 580 mph
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Downwind DATA:
distance = 600 miles : time = t hrs ; rate = 600/t mph
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Upwind DATA:
distance = 560 miles ; time = t hrs ; rate = 560/t mph
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Equations:
Downwind rate::: 600/t + 580 = wind velocity
Upwind rate::::: 580/t - 580 = wind velocity
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2wind = 1180/t
wind = 590/t
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Wind Velocity = downwind rate - still air rate:
600/t - 580/t = 20/t mph
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Cheers,
Stan H.
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