SOLUTION: A private plane can make a 125-mile trip in half an hour when flying against a certain headwind. Flying with the same wind, it can make the trip in 25 minutes. Find the speed of th

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Question 426583: A private plane can make a 125-mile trip in half an hour when flying against a certain headwind. Flying with the same wind, it can make the trip in 25 minutes. Find the speed of the wind and the plane's airspeed.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and w represent the plane and wind speed respectively

Question states***

 x + w = 300mph    |r = 125mi/.417hr

 x - w = 250mph    |r = 125mi/.5h

  2x = 550

   x = 275mph, the speed of the plane. tail Wind is 25mph  (300mph-275mph)