SOLUTION: help me solve this please? Science and medicine. 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 tak

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Question 76773: help me solve this please?
Science and medicine. 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?
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
DISTANCE=RATE*TIME SEEING AS THESE DISTANCES ARE THE SAME WE HAVE THE EQUATION
(720-30)X=(720+30)(10-X)
690X=750(10-X)
690X=7500-750X
690X+750X=7500
1440X=7500
X=7500/1440
X=5.208 HOURS FOR THE FIRST TRIP &
10-5.208=4.792 FOR THE RETURN TRIP.
PROOF
690*5.208=750*4.792
3594=3594