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.

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) (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 . Adding the two equations together gives . Dividing both sides by 2 gives . Plugging this into either equation gives . So the airplane's speed is 250 mph and the wind's speed is 50 mph.
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