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 220 mil

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Question 409525: 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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let w = windspeed
Against wind: 220+-+w mi/hr
With wind: 220+%2B+w mi/hr
--------------------
Against wind:
(1) 330+=+%28220+-+w%29%2At
with wind:
(2) 550+=+%282230+%2B+w%29%2At
---------------------
Solve both equations for t
(1) t+=+330%2F%28220+-+w%29
(2) t+=+550%2F%28220+%2B+w%29
Therefore:
330%2F%28220+-+w%29+=+550%2F%28220+%2B+w%29
330%2A%28220+%2B+w%29+=+550%2A%28220+-+w%29
divide both sides by 10
33%2A%28220+%2B+w%29+=+55%2A%28220+-+w%29
7260+%2B+33w+=+12100+-+55w
88w+=+12100+-+7260
88w+=+4840
w+=+55
The wind speed is 55 mi/hr
check answer:
(1) t+=+330%2F%28220+-+55%29
t+=+330%2F165
t+=+2 hrs
and
(2) t+=+550%2F%28220+%2B+55%29
t+=+550%2F275
t+=+2 hrs
OK