SOLUTION: A plane can travel 910 miles with a 35mph tailwind in the same time it can travel 760 miles with a 40mph headwind. How fast can the plane travel with no wind resistance? I just nee

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Question 477581: A plane can travel 910 miles with a 35mph tailwind in the same time it can travel 760 miles with a 40mph headwind. How fast can the plane travel with no wind resistance? I just need a formula and I would try to figure it on my own thank you so much

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Note: D = r*t  OR t = D/r

Let s represent how fast can the plane travel with no wind resistance

 910/(s+35mph) = 760/(s - 40mph) |Cross multiply to solve for s

 910(s-40) =  760(s+35)

   150s = 63000

      s = 420mph