SOLUTION: A Jet travels 3312 mi against the wind in 6 hours and 4452 mi with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind?

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Question 1012012: A Jet travels 3312 mi against the wind in 6 hours and 4452 mi with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Frequently asked question, just using different values given.
             rate       time       distance
WITH         r+w         6          4452
AGAINST      r-w         6          3312

All in symbols:
             rate       time       distance
WITH         r+w         t          c
AGAINST      r-w         t          b

system%28%28r%2Bw%29t=c%2C%28r-w%29t=b%29

system%28rt%2Bwt=c%2Crt-wt=b%29

system%28tr%2Btw=c%2Ctr-tw=b%29------this will allow for easy use of the Elimination Method.

Summing the corresponding members,
2tr=b%2Bc
highlight%28r=%28b%2Bc%29%2F%282t%29%29

Subtracting the corresponding members,
2tw=%28c-b%29
highlight%28w=%28c-b%29%2F%282t%29%29

Now you can just substitute the given values and evaluate.