SOLUTION: An airplane travels 2277km against the wind in 3 hours and 2667km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the

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Question 317587: An airplane travels 2277km against the wind in 3 hours and 2667km with the wind in 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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Let V be the speed of the plane in still air.
Let W be the wind speed.
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%28V%2BW%293=2667
1.V%2BW=889
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%28V-W%293=2277
2.V-W=759
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Add eq. 1 and eq. 2,
V%2BW%2BV-W=889%2B759
2V=1648
highlight%28V=824%29 kph
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824%2BW=889
highlight%28W=65%29 kph