SOLUTION: Jake flew his plane 500 miles against the wind in the same time as it took him to fly 700 miles with the wind. If the speed of the wind is 40 mph, what was the speed of the plane?

Question 421963: Jake flew his plane 500 miles against the wind in the same time as it took him to fly 700 miles with the wind. If the speed of the wind is 40 mph, what was the speed of the plane? So far for the set up of the problem I have Jake against the wind and Jake with the wind. R*T= D so Jake against the wind 500D=R-40 *T and Jake with the wind is 700D=S+40*T but I don't know how to set this up for solving
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Jake flew his plane 500 miles against the wind in the same time as it took him to fly 700 miles with the wind. If the speed of the wind is 40 mph, what was the speed of the plane?
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a = airspeed of the plane
700 = (a+40)*t
500 = (a-40)*t
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t = 700/(a+40) = 500/(a-40)
700*(a-40) = 500*(a+40)
700a - 28000 = 500a + 20000
200a = 48000
a = 240 mi/hr

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