SOLUTION: An airplane flying into a headwind travels 1800 miles in 3 hours and 36 minutes. On the return flight, the same distance is traveled in 3 hours. Find the speed of the plane in st

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Question 449064: An airplane flying into a headwind travels 1800 miles in 3 hours and 36 minutes. On the return flight, the same distance is traveled in 3 hours. Find the speed of the plane in still air and the speed of the wind, assuming that both remain constant throughout the round trip.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Let x and y represent speed of the plane in still air and the speed of the wind

 x - y  = 500    |1800mi/3.6hr  (36min = .6hr)

 x + y  = 600    |1800mi/3hr

   2x = 1100

    x = 550mph,speed of the plane in still air. Speed of the wind is 50mph