Quantitative Aptitude :: Time and Work - Discussion

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Explanation:
(A+ B)'s 1 day's work = (1/15+1/10) = 5/30 = 1/6

So work done by A and B in 2 days = (1/6?2) = 1/3

so Remaining work = (1?1/3) = 2/3

A 1 day work = 1/15
or
1/15 work is done by A in = 1 day.

? 2/3 work will be done by A = (15?2/3) = 10 days.

so total time required = (10 + 2) = 12 days.