SOLUTION: Flying against the jetstream, a jet travels 5250km in 7 hours. Flying with the jetstream, the same jet travels 6900km in 6 hours. What is the speed of the jet in still air, ans wha

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Flying against the jetstream, a jet travels 5250km in 7 hours. Flying with the jetstream, the same jet travels 6900km in 6 hours. What is the speed of the jet in still air, ans wha      Log On

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Question 167238: Flying against the jetstream, a jet travels 5250km in 7 hours. Flying with the jetstream, the same jet travels 6900km in 6 hours. What is the speed of the jet in still air, ans what is the speed of the jetstream?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
d=r*t
%28J%5Bs%5D-A%5Bs%5D%297=5250 where J%5Bs%5Dis the speed of the Jet
%28J%5Bs%5D%2BA%5Bs%5D%296=6900 and A%5Bs%5D is the speed of the air
:
7J%5Bs%5D-7A%5Bs%5D=5250 distribute
6J%5Bs%5D%2B6A%5Bs%5D=6900
:
84J%5Bs%5D=79800 multiply top equation by 6 and bottom by 7
: and add equations....TheA%5Bs%5D terms are eliminated.
:
highlight%28J%5Bs%5D=950%29
:
substitute 950 in any equation above I chose the 1st and you arrive at
:
highlight%28A%5Bs%5D=200%29