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A does half as much work as B in three-fourth of the time. If the together they take 18 days to complete a work. How much time shall B take to do it?

Correct Answer: 30 days

Explanation:

Let B takes N days to do the work
∴ A takes 2 x (3/4) x N = 3N/2 days to do it
∵ (A + B)'s 1 day's work = 1/18
⇒ 1/N + 2/3N = 1/18
∴ N = 30


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