SOLUTION: at maximum speed, an airplane travels 2400 miles against the wind in 6 hours. flying with the wind, the plane can travel the same distance in 5 hours. let x be the maximum speed of

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Question 447951: at maximum speed, an airplane travels 2400 miles against the wind in 6 hours. flying with the wind, the plane can travel the same distance in 5 hours. let x be the maximum speed of the plane and y be the speed of the wind. what is the speed of the plane with no wind?
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

let x be the maximum speed of the plane and y be the speed of the wind.

Question states*** Note D = r*t

 x + y = 480mph   |2400mi/5hr = 480mph

 x - y = 400mph   |2400mi/6hr = 400mph

    2x = 880   

     x = 440mph, the speed 0f the plane with no wind.  (Wind speed is 40mph)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2400/6 = 400 mph
2400/5 = 480 mph
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The airspeed is the average = (400+480)/2
= 440 mph
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The windspeed is the difference = 440 - 400 = 40 mph