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?

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) (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

RELATED QUESTIONS
A,B and C can do a piece of work together in 15 days. B alone can do in 30 days and C... (answered by ankor@dixie-net.com)

A, B, and C can do a piece of work in 10 days. A and B can do it in 12 days, A and C in... (answered by josmiceli)

A,B, and C can do a piece of work in 10 days. A and B can do it in 12 days, A and C in 20 (answered by dkppathak)

A,B and C do a piece of work in 10 days. A and B can do it in 12 days. A and C in 20... (answered by savvyhush23)

A and B can do a piece of work in 6 days, B and C can do it in 10 days and C and A can do (answered by richwmiller)

A and B can do a piece of work in 6 days, B and C can do it in 10 days and C and A do it... (answered by josgarithmetic)

a and b can do a piece of work in 18 days, b and c can do it in 24 days while c and a... (answered by ikleyn)

A and B can do a piece of work in 40/3 days. A alone can do the work in 20 days. How long (answered by mananth)

A and B can do a piece of work in 12 days , B and C can do it in 15 days and C and A can... (answered by richwmiller)