SOLUTION: at max speed, an airplane tavels 2100 miles aginst the wind in 6 hours. Flying with the wind, the plane can travel the same distance in 4 hours. what is the speed of the plane with

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Question 600676: at max speed, an airplane tavels 2100 miles aginst the wind in 6 hours. Flying with the wind, the plane can travel the same distance in 4 hours. what is the speed of the plane with no wind?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
at max speed, an airplane tavels 2100 miles aginst the wind in 6 hours. Flying with the wind, the plane can travel the same distance in 4 hours. what is the speed of the plane with no wind?
Let w = the speed of the wind
Let p = the speed of the plane with no wind

Then speed against the wind = (p-w)
And speed with the wind = (p+w)
 

                      distance  =   rate · time
plane against wind     2100     =   (p-w)·  6   
plane with wind        2100     =   (p+w)·  4

           2100 = (p-w)·6
           2100 = (p+w)·4

Divide both sides of the first equation by 6
Divide both sides of the second equation by 4

            350 = p - w
            525 = p + w

Solve that system and get p = 437.5 mph, w = 87.5 mp

Edwin