SOLUTION: A plane flies 450 miles with the wind and 350 miles against the the wind in the same length of time. If the speed of the wind is 28 mph, what is the speed of the plane in still air

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Question 463222: A plane flies 450 miles with the wind and 350 miles against the the wind in the same length of time. If the speed of the wind is 28 mph, what is the speed of the plane in still air?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A plane flies 450 miles with the wind and 350 miles against the the wind in the same length of time. If the speed of the wind is 28 mph, what is the speed of the plane in still air?
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let x=speed of plane in still air
speed of plane with wind=x+28
speed of plane against wind=x-28
Travel time the same for forward and return trips
Travel time = distance/speed
450/(x+28)=350/(x-28)
450x-12600=350x+9800
100x=22400
x=224
ans:
speed of the plane in still air=224 mph