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 in the air?
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Question 24178: 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 in the air?
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
Let the plane's speed be x
Agianst the headwind = x-30
With the headwind = x+30
total time = 10h
720[(x-30)+(x+30)]=10[(x-30)(x+30)] --> simplify
Quardrtic equation: --> divide the equation by 10
Use quadratic formula:
in a=1, b=-144, c=-900
-->DIVIDE BY 2
---> DIVIDE by 2.
Add:
x=150
Hence the speed of the plane in still sir is 150mi/h.
Paul.
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