SOLUTION: Eddie is flying a jet against the wind on a 330 mile trip. Flying with the same wind speed, Eddie could fly a 550 mile trip in the same amount of time. If Eddie's jet flies at 22

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Question 598486: Eddie is flying a jet against the wind on a 330 mile trip. Flying with the same wind speed, Eddie could fly a 550 mile trip in the same amount of time. If Eddie's jet flies at 220 miles per hour in still air, what is the speed of the wind?
I have such a problem with algebra. I will appreciate any help you can give me.


Thank you,
Lynnette
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Eddie is flying a jet against the wind on a 330 mile trip.
Flying with the same wind speed, Eddie could fly a 550 mile trip in the same amount of time.
If Eddie's jet flies at 220 miles per hour in still air, what is the speed of the wind?
:
Let w = the speed of the wind
then
(220-w) = his effective speed against the wind
and
(220+w) = his effective speed with the wind
:
Write a time equation; time = dist/speed
;
350%2F%28%28220-w%29%29 = 550%2F%28%28220%2Bw%29%29
cross multiply
350(220+w) = 550(220-w)
77000 + 350s = 121000 - 550w
350w + 550w = 121000 - 77000
900w = 44000
w = 44000%2F900
w = 48.9 mph is the wind
:
:
We can confirm this by finding the times, they should be the same
550/(220+48.9) = 2.045 hrs
350/(220-48.9) = 2.045 hrs