SOLUTION: A,B and C can do a piece of work together in 3 days. A can do it alone in 10 days and B can do it alone in 8 days. How long will it take C to do the job alone?

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: A,B and C can do a piece of work together in 3 days. A can do it alone in 10 days and B can do it alone in 8 days. How long will it take C to do the job alone?      Log On

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Question 152192: A,B and C can do a piece of work together in 3 days. A can do it alone in 10 days and B can do it alone in 8 days. How long will it take C to do the job alone?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
A can do 1/10 of the job in one day.
B can do 1/8 of the job in one day.
.
1/10 + 1/8 + c = 1/3
12/120 + 15/120 + c = 40/120
c=40/12 - 27/120
=13/120 of the job in one day
So c can do the job in 120/13 days or 9 3/13 days.
.
Ed