SOLUTION: An air plane flies 600miles with the wind for 2hours and returns against the wind in 3hours. Find the speed of wind and the air plane.

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Question 1158673: An air plane flies 600miles with the wind for 2hours and returns against the wind in 3hours. Find the speed of wind and the air plane.
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
Let the speed of the airplane be x mph and the speed of the wind y mph. We have the system of equations system%28x%2By=300%2Cx-y=200%29. Adding the two equations together gives 2x=500. Dividing both sides by 2 gives highlight%28x=250%29. Plugging this into either equation gives highlight%28y=50%29. So the airplane's speed is 250 mph and the wind's speed is 50 mph.