SOLUTION: A commercial jet can fly 490 mph in calm air. Traveling with the jet stream, the plane flew 2400 mi in the same amount of time it would take to fly 1600 mi against the jet stream.

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Question 805593: A commercial jet can fly 490 mph in calm air. Traveling with the jet stream, the plane flew 2400 mi in the same amount of time it would take to fly 1600 mi against the jet stream. Find the rate of the jet stream.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
r*t=d
(490-c)*t=1600
490*t-c*t=1600
(490+c)*t=2400
490*t+c*t=1600
490*t-c*t=2400
add
980t=4000
t=4000/980
t=4.08163265 hr
490*4.08163265+c*4.08163265=2400
2000.0+c*4.08163265=2400
c*4.08163265=400.0
c=400.0/4.08163265
c=98.0 mph wind
check
(490+c)*t=2400
(490+98)*4.08163265=2400
(588)*4.08163265=2400
2400.0=2400
(490-c)*t=1600
(490-98)*4.08163265=1600
(392)*4.08163265=1600
1600.0=1600
ok