SOLUTION: A jet travels 3950 miles from Chicago, Illinois to London, England, and 3950 miles on the return trip. The total flying time is 16.5 hours. The return trip takes longer due to flyi

Question 1008926: A jet travels 3950 miles from Chicago, Illinois to London, England, and 3950 miles on the return trip. The total flying time is 16.5 hours. The return trip takes longer due to flying into the wind that blows from West to East. If the jet's average speed with no wind is 485 miles per hour, find the average speed of the wind to the nearest whole number.
Please, any and all help is desperately needed right now I need help as soon as possible.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A jet travels 3950 miles from Chicago, Illinois to London, England, and 3950 miles on the return trip. The total flying time is 16.5 hours. The return trip takes longer due to flying into the wind that blows from West to East. If the jet's average speed with no wind is 485 miles per hour, find the average speed of the wind to the nearest whole number.
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Downwind DATA:
distance = 3950 miles ; rate = 485+w mph ; time = d/r = 3950/(485+w)
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Upwind DATA:
distance = 3950 miles ; rate = 485-w mph ; time = 3950/(485-w)
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Equation::
3950/(485+w) + 3950/(485-w) = 16.5 hrs
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3950(485-w) + 3950(485+w) = 16.5(485^2-w^2)
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3950(485+w) + 3950(485-w) = 16.5*485^2 - 16.5w^2
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2*3950*485 = 16.5*485^2 - 15w^2
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wind speed = 57.6 mph or 58 mph to the nearest whole number
Cheers,
Stan H.
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