SOLUTION: Against the wind a small plane flew 858 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What was the speed of the wind? What was the speed of the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Against the wind a small plane flew 858 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What was the speed of the wind? What was the speed of the       Log On


   

Question 894751: Against the wind a small plane flew 858 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What was the speed of the wind? What was the speed of the plane in still air?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Against the wind a small plane flew 858 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What was the speed of the wind? What was the speed of the plane in still air?
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Against the wind DATA::
dist = 858 miles ; time = 2 1/6 = 13/6 hrs ; rate = 858/(13/6) = 396 mph
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With the wind DATA::
dist = 858 miles ; time = 1 5/6 = 11/6 hrs ; rate = 858/(11/6) = 468 mph
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Equation:
With:: p + w = 468
Against: p - w = 396
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Subtract to solve for "w":
2w = 72
wind = 36 mph
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Cheers,
Stan H.
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