SOLUTION: Please don't answer if you aren't going to put the final answer A jet travels 2202mi against a jetstream in 3 hours and 2532mi with the jetstream in the same amount

Algebra ->  Linear-equations -> SOLUTION: Please don't answer if you aren't going to put the final answer A jet travels 2202mi against a jetstream in 3 hours and 2532mi with the jetstream in the same amount       Log On


   

Question 1104678: Please don't answer if you aren't going to put the final answer
A jet travels
2202mi
against a jetstream in
3
hours and
2532mi
with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate of the jetstream?
Rate of jet still in the air:
Rate of jetstream:
Found 3 solutions by jim_thompson5910, Alan3354, josgarithmetic:
Answer by jim_thompson5910(35256) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Just get the answer.
Avoid learning anything.

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Basic Travel Rates Rule RT=D for constant rate R, time T, and D distance.

If you feel the need to use a data table you can. 

                  SPEED     TIME      DISTANCE

UPSTREAM         r-w          3          2202

DOWNSTREAM       r+w          3          2532


Using the basic travel rates rule,
system%28r-w=2202%2F3%2Cr%2Bw=2532%2F3%29

system%28r-w=734%2Cr%2Bw=844%29, the system now ready for use of Elimination Method to solve this linear system for r and w; speed without any wind, and the speed of the wind.

%28r-w%29%2B%28r%2Bw%29=734%2B844
2r=1578
highlight%28r=789%29

To get value for w, subtract the system's members which eliminates r.