SOLUTION: 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 days. How many days would it take each to do the work alone?

Question 936182: 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 days. How many days would it take each to do the work alone?
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
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 days. How many days would it take each to do the work alone?
solution
A+B+C 1 days work=1/10 (1)
A+B 1 days work =1/12 (2)
A+C 1 days work =1/20 (3)
by substituting 2 and value in equation (1)
C 1 days work=1/10-1/12= 1/60
similarly B 1 days work =1/10 -1/20= 1/20
A 1 day work will be =1/10-1/60-1/20 =2/60=1/30
A can complete in 30 ,B can complete 20 days and C can complete 60 days

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