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

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) (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
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