SOLUTION: An airplane flies 900 miles against a headwind of 25 miles per hour. The plane took 15 minutes longer for this flight with a tailwind of 25 miles per hour. How fast could the plane

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Question 668357: An airplane flies 900 miles against a headwind of 25 miles per hour. The plane took 15 minutes longer for this flight with a tailwind of 25 miles per hour. How fast could the plane fly in still air?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,Previously Posted

Note:  t = D/r

+900%2F%28v-25mph%29-900%2F%28v%2B25mph%29+=+1%2F4

   3600(v+25) - 3600(v-25) = v^2 - 625

         7200*25 +625 = v^2

               425mph = v

and..

2%261%2F4+-+2+=+1%2F4