SOLUTION: Working together, Carmel and Menchie can encode a document in 3 hours. Working alone, Menchie can do the job in 7 hours. How long does it takes Carmel to do the job working alone?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, Carmel and Menchie can encode a document in 3 hours. Working alone, Menchie can do the job in 7 hours. How long does it takes Carmel to do the job working alone?      Log On


   



Question 949989: Working together, Carmel and Menchie can encode a document in 3 hours. Working alone, Menchie can do the job in 7 hours. How long does it takes Carmel to do the job working alone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Working together, Carmel and Menchie can encode a document in 3 hours.
Working alone, Menchie can do the job in 7 hours.
How long does it takes Carmel to do the job working alone?
:
let c = amt of time by Carmel to do the job alone
let the completed job = 1
:
A shared work equation. Both will do a fraction of the job. The two fractions add up to 1
3%2F7 + 3%2Fc = 1
multiply by 7c
7c*3%2F7 + 7c*3%2Fc = 7c*1
cancel the denominators and you have
3c + 7(3) = 7c
21 = 7c - 3c
21 = 4c
c = 21/4
c = 5.25 hr C working alone