Quantitative Aptitude :: Time and Work - Discussion

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Explanation:
(A + B + C)'s 1 day's work = (1/24+1/36+1/48)=13/144

Work done by (A + B + C) in 4 days = 4*13/144=13/36

Work done by B in 3 days = 1/36?3=1/12
Left work = [1?(13/36+1/12)]=5/9

(A + B)'s 1 day's work = (1/24+1/36)=5/72

5/72 part of work is done by A and B = 1 day
5/9 work done by A & B = (72/5?5/9) = 8 days.

So, total time taken = (4 + 3 + 8) days = 15 days.