SOLUTION: An airplane can fly 650 miles with the wind in the same amount of time as it can fly 425 miles against the wind. If the wind speed is 50 mph, find the speed of the plane in still a

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Question 976647: An airplane can fly 650 miles with the wind in the same amount of time as it can fly 425 miles against the wind. If the wind speed is 50 mph, find the speed of the plane in still air. (Round your answer to the nearest whole number.)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane can fly 650 miles with the wind in the same amount of time as it can fly 425 miles against the wind. If the wind speed is 50 mph, find the speed of the plane in still air. (Round your answer to the nearest whole number.
***
let x=speed of plane in still air
x+50=speed of plane with the wind
x-50=speed of plane against the wind
travel time=distance/speed
..
650%2F%28x%2B50%29=425%2F%28x-50%29
cross multiply:
650(x-50)=425(x+50)
650x-32500=425x+21250
225x=53750
x≈239 (rounded)
Speed of the plane in still air=239 mph