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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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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
720(1-30t)+720(1+30t)=10t
720-21600t+720+21600t=10t
1440=10t
10t%2F10=1440%2F10
t=144
Hence the speed of the plane in still air is 144mi/h.