A and B can complete a piece of work in 12 days;similar work can be done alone by B and C in 20 days and same for C and A.Find, collectively when they can complete the work .

Time taken by A and B to complete the work = 12 daysA+B's 1 day's work = 112Time taken by B and C to complete the work = 20 daysB+C's 1 day's work = 120Time taken by A and C to complete the work = 20 daysA+C's 1 day's work = 120Now, A+B+C's 1 day's work = 12112 + 120 + 120=125 + 3 + 360=11120So, A, B and C will take 12011 days to complete the work.

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