SOLUTION: A small airplane takes the same amount of time to fly 600 miles against the jet stream as it does to fly 1000 miles with the jet stream. If the speed of the airplane in still air i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A small airplane takes the same amount of time to fly 600 miles against the jet stream as it does to fly 1000 miles with the jet stream. If the speed of the airplane in still air i      Log On


   

Question 722483: A small airplane takes the same amount of time to fly 600 miles against the jet stream as it does to fly 1000 miles with the jet stream. If the speed of the airplane in still air is 180 mph, how fast is the airstream
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
plane speed = 180 mph
windspeed = x mph

speed against wind 180 - x
speed with wind 180 + x

Distance against wind 600 miles
Distance with wind 1000 miles

t=d/r time against = time with wind -
600 / ( 180 - x )= 1000 / ( 180 + x )
600 ( 180 + x )= 1000 ( 180 -x )
108000 + 600 x = 180000 - -1000 x
1000 x 600 x 180000 + -108000
1600 x = 72000
/ 1600
x = 45 mph wind speed