A and B together can do a piece of work in 12 days A and C together can do the same work in 15 days ...........

Quantitative Aptitude(IBPS PO) Time and work

A and B together can do a piece of work in 12 days, A and C together can do the same work in 15 days. If B and C together can do the same work in 20 days, then in how many days A, B and C together can complete the same work?

None of these

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Explanation:

Let the total work = 60 (LCM of 12, 15 and 20)
Efficiency of A and B together = 60/12=5
Efficiency of B and C together =60/20 = 3
Efficiency of C and A together =60/15 = 4
So, efficiency of A, B and C together= 12/2= 6
Hence, the required number of days
=60/6 = 10 days.