SOLUTION: An airplane travels 5184 km. Against the wind in 8 hours and 6224 km with the wind the same amount of time. What is the rate of the plane in still air and what is the rate of the w

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Question 1009469: An airplane travels 5184 km. Against the wind in 8 hours and 6224 km with the wind the same amount of time. What is the rate of the plane in still air and what is the rate of the wind
Answer by stanbon(75887) About Me  (Show Source):
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An airplane travels 5184 km. Against the wind in 8 hours and 6224 km with the wind the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
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Upwind DATA:
dist = 5184 km ; time = 8 hrs ; rate = 5184/8 = 648 km/hr
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Downwind DATA:
dist = 6224 km ; time = 8 hrs ; rate = 6224/8 = 778 km/hr
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Equation:
r - w = 648
r + w = 778
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Subtract to get:
2w = 130
Wind rate = 65 km/hr
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Calm rate = 648+65 = 713 km/hr
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Cheers,
Stan H.
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