SOLUTION: An airplane takes 6 hours to travel a distance of 5400km against the wind. The return trip takes 5 hours with the wind. What is the rate of the plane in still air and what is the r

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Question 395082: An airplane takes 6 hours to travel a distance of 5400km against the wind. The return trip takes 5 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
Rate of the plane in still air =
Rate of wind=
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane takes 6 hours to travel a distance of 5400km against the wind. The return trip takes 5 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
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Against wind DATA:
distance = 5400 km ; time = 6 hrs ; rate = 5400/6 = 900 km/h
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With wind DATA:
distance = 5400 km ; time = 5 hrs ; rate = 5400/5 = 1080 km/h
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Equations:
Let p be plane speed in still air.
Let w be wind speed.
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p-w = 900
p+w = 1000
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Add:
2p = 1900
p = 950 km/h
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Then w = 50 km/h
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Cheers,
Stan H.
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