SOLUTION: How do i set this up? A plane can fly at a rate of 215 mph in still air. Traveling with the wind, the plane flew 750 miles in the same amount of time it took to fly 540 miles a

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Question 803332: How do i set this up?
A plane can fly at a rate of 215 mph in still air. Traveling with the wind, the plane flew 750 miles in the same amount of time it took to fly 540 miles against the wind. Find the rate of the wind.

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Planespeed = 215 mph
wind speed given = x mph

speed against current 215 - x
speed with current 215 + x

Distance against current 540 miles
Distance with current 750 miles

t=d/r time against = time with current -
540 / ( 215 - x )= 750 / ( 215 + x )
540 ( 215 + x )= 750 ( 215 -x )
116100 + 540 x = 161250 - -750 x
750 x 540 x 161250 + -116100
1290 x = 45150
/ 1290
x = 35 mph current speed

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