SOLUTION: A takes 5 days to finish a work, B takes 8 days to finish the same work. If A,B,C together take 3 days to finish the work. How many days C takes to finish same work alone?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A takes 5 days to finish a work, B takes 8 days to finish the same work. If A,B,C together take 3 days to finish the work. How many days C takes to finish same work alone?       Log On


   

Question 1065482: A takes 5 days to finish a work, B takes 8 days to finish the same work. If A,B,C together take 3 days to finish the work. How many days C takes to finish same work alone?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the time for C to finish this work alone.
1%2F5%2B1%2F8%2B1%2Fx=1%2F3

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
There is a wide variety of similar solved joint-work problems with detailed explanations in the lessons
    - Rate of work problems
    - Using Fractions to solve word problems on joint work
    - Solving more complicated word problems on joint work
    - Using quadratic equations to solve word problems on joint work
    - Solving rate of work problem by reducing to a system of linear equations
    - Selected joint-work word problems from the archive
    - Joint-work problems for 3 participants
in this site.

Read them and get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".