SOLUTION: if it takes a plane 25 hours to fly to its destination against the wind. The return trip takes 17 hours. If the plane's average speed in still air is 580 miles per hour, what is t

Algebra ->  Rational-functions -> SOLUTION: if it takes a plane 25 hours to fly to its destination against the wind. The return trip takes 17 hours. If the plane's average speed in still air is 580 miles per hour, what is t      Log On


   

Question 1080424: if it takes a plane 25 hours to fly to its destination against the wind. The return trip takes 17 hours. If the plane's average speed in still air is 580 miles per hour, what is the average speed of the wind during the flight?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if it takes a plane 25 hours to fly to its destination against the wind. The return trip takes 17 hours. If the plane's average speed in still air is 580 miles per hour, what is the average speed of the wind during the flight?
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Against-wind DATA:
time = 25 hrs ; rate = 580-w ; dist = 25(580-w) miles
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With-wind DATA:
time = 17 hrs ; rate = 580+w ; dist = 17(580+w) miles
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Equation:
25(580-w) = 17(580+w)
25*580-25w = 17*580+17w
42w = 8*580
wind = 110.48 mph
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Cheers,
Stan H.
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