SOLUTION: An airplane can fly 650 miles with the wind in the same amount of time as it can fly 475 miles against the wind. If the wind speed is 40mph, find the speed of the plane in still ai

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An airplane can fly 650 miles with the wind in the same amount of time as it can fly 475 miles against the wind. If the wind speed is 40mph, find the speed of the plane in still ai      Log On


   



Question 379547: An airplane can fly 650 miles with the wind in the same amount of time as it can fly 475 miles against the wind. If the wind speed is 40mph, find the speed of the plane in still air.
Answer by mananth(16946) 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 475 miles against the wind. If the wind speed is 40mph, find the speed of the plane in still air.
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wind speed = 40 mph
let plane speed = xmph
..
against wind speed = x-40
with wind speed = x+40
..
time with wind = time against wind
t=d/r
650/(x+40)=475/(x-40)
cross multiply
650(x-40)=475(x+40)
650x-26000=475x+19000
650x-475x=26000+19000
175x=45000
/175
x= 45000/175
257 mph the speed of plane
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m.ananth@hotmail.ca