A,B,C,D......
Level
pending
A and B can do a piece of work in 12 days ; B and C can do it in 15 days while C and A can finish it in 20 days . In how many days will A,B,C finish it working together ?
The answer is 10.
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1 solution
A+B can do 1/12 th of the work in 1 day. B+C can do 1/15 th of the work in 1 day. C+A can do 1/20th of the work in 1 day.
Therefore, (A+B+C) can do the complete work in how many days?
(A+B+B+C+C+A)/2= A+B+C, hence =>(1/12+1/15+1/20)/2= (12/60)/2= 12/120 A+B+C can complete 12/120 in 1 day. To complete the job ( 120/120), it will take them 120/12 days or 10 days.