SOLUTION: A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10h, what is the plane's speed still in the air?

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Question 48644: A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If the entire trip takes 10h, what is the plane's speed still in the air?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
720/(X+30)+720/(X-30)=10 OR [720(X-30)+720(X+30)]/(X~2-900)=10 OR
(720X-21600+720X-21600)/(X~2-900)=10 OR 10(X~2-900)=1440X OR X~2-144X-900=0 OR
(X-150)(X+6)=0 OR X=150 & X=-6 THEREFORE THE SPEED OF THE PLANE IS 150MPH