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Question

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.

A If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
B If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Correct Answer Incorrect Answer
C If the data in both statement I and II together are required to answer the question. Correct Answer Incorrect Answer
D If the data either in statement I alone or in statement II alone is sufficient to answer the question Correct Answer Incorrect Answer
E If the data even in both the statement I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer

Solution

From I, 1/A = 1/15 - 1/45 = 2/45 Therefore, A takes 45/2 = 221/2 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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