SOLUTION: Bob flies an airplane 495 miles with a tail wind of 25 miles per hour. Against the wind, he flies only 405 miles in the same amount of time. Find the rate of the plane in still air

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Bob flies an airplane 495 miles with a tail wind of 25 miles per hour. Against the wind, he flies only 405 miles in the same amount of time. Find the rate of the plane in still air      Log On


   

Question 1014404: Bob flies an airplane 495 miles with a tail wind of 25 miles per hour. Against the wind, he flies only 405 miles in the same amount of time. 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!
Bob flies an airplane 495 miles with a tail wind of 25 miles per hour. Against the wind, he flies only 405 miles in the same amount of time. Find the rate of the plane in still air.
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With-wind DATA:
dist = 495 miles ; rate = p+25 mph ; time = d/r = 495/(p+25) hrs
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Against-wind DATA:
dist = 405 miles ; rate = p-25 mph ; time = 405/(p-25) hrs
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Equation:
time = time
495/(p+25) = 405/(p-25)
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495p - 495*25 = 405p + 25*405
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90p = 22500
plane speed = 250 mph
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Cheers,
Stan H.
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