How much time does A take alone to complete the work?

I. B alone takes 45 days, while A and B together take 15 days to complete the work.

II. A and B can do a piece of work in 8 days, and B and C can do the same work in 12 days.

From I, Let total work = LCM of 45 and 15 = 45 units So B 's 1 day work = 45/45 =1 unit and A & B's 1 day together work = 45/15 = 3 units So B's 1 day work = 3-1 =2 units So B can do this job in = 45/2 = 22.5 days OR 1/A = 1/15 - 1/45 = 2/45 Therefore, A takes 45/2 = 22.5 days to complete the work. From II, we cannot get the answer. Therefore, data statement I alone is sufficient to answer the question.

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