SOLUTION: at maximum speed an airplane travels 1680 miles against the wind in 5 hours . Flying with the wind the plane can travel the same distance in 4 hours Let x be the maxium speed of

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Question 313013: at maximum speed an airplane travels 1680 miles against the wind in 5 hours . Flying with the wind the plane can travel the same distance in 4 hours
Let x be the maxium speed of the plane and y be the speed of the wind. What is the speed of the plane with no wind?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
at maximum speed an airplane travels 1680 miles against the wind in 5 hours . Flying with the wind the plane can travel the same distance in 4 hours
Let x be the maxium speed of the plane and y be the speed of the wind. What is the speed of the plane with no wind?
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With wind DATA:
distance = 1680 mi ; 4 hrs ; rate = 1680/4 = 420 mph
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Against wind DATA:
distance = 1680 ; time = 5 hrs ; rated = 1680/5 = 336 mph
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Equations:
x+y = 420
x-y = 336
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Add and solve for "x":
2x = 756
x = 378 mph (speed of the plane in still air)
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Cheers,
Stan H.