A and B can do a work in 8 days. B and C can do the same work in 12 days. A, B and C work together can finish it in 6 days. A and C together will do it in
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Step-by-step explanation:
Consider the provided information.
A and B can do a given piece of work in 8 days.
The one day work of A and B is = 1/8
B and C can do the same work in 12 days
The one day work of B and C is = 1/12
Let A and C complete the work in x days
The one day work of A and C is =1/x
A, B and C can do a given piece of work in 6 days.
The one day work of A, B and C is = 1/6
Thus, (A+B+B+C+C+A)’s one day’s work =1/8+1/12+1/x
2(A+B+B+C+C+A)=3x+2x+24x/24
2*1/6=5x+24/24x
8x=5x+24
3x=24
x=8
Hence, A and C together complete the work in 8 day.
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