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

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) (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

 

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