# SOLUTION: I also need help with the problem number 19022 that MelanieBCC answered. A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: I also need help with the problem number 19022 that MelanieBCC answered. A plane flies 720 mi against a steady 30-mi/h headwind and then returns to the same point with the wind. If      Log On

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 Word Problems: Travel and Distance Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Travel Word Problems Question 22294: I also need help with the problem number 19022 that MelanieBCC answered. 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 10 h, what is the plane's speed in still air?Found 2 solutions by stanbon, Paul:Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!Let "p" be the speed of the plane in still air. With the wind: distance = 720 rate = p+30 Therefore time = 720/(p+30) Against the wind: distance = 720 rate = p-30 Therefore time = 720/(p-30) Equation: Time with + Time against = 10 720/(p+30) + 720/(p-30) = 10 Solve for "p" to get the answer you need. Cheers, Stan H. Answer by Paul(988)   (Show Source): You can put this solution on YOUR website!720(1-30t)+720(1+30t)=10t 720-21600t+720+21600t=10t 1440=10t t=144 Hence the speed of the plane in still air is 144mi/h.