Hi

Let x and w represent the plane and wind speed respectively

Question states***

 x + w = 240mph    |r = 240mi/1hr

 x - w = 160mph    |r = 240mi/1.5hr

  2x = 400

   x = 200mph, the speed of the plane. tail Wind is 40mph  (240mph-200mph) 

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
 Let the speed of the plane with no wind = s

Let the speed of the wind = v

The speed against the wind = s - v = 240 mi/1.5 h = 160 mi/h (1)

The speed with the wind = s + v = 240/1 h = 240 mi/h (2)

Subtract (1) from (2):

2v = 80 -> v = 40 mi/h.

Ans: The speed of the wind is 40 mi/h 

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