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A does 1/2 as much work as B in 3/4 of the time. If together they take 18 days to complete, how much time shall B to do it?
30 days
35 days
40 days
none of these
Let's say B takes Xdays to finish 1 job, then A will take 3/4(X) days to finish 0.5 job. Now we know that 18(1/X + 0.5/0.75X) = 1 1/X + 50/75X = 1/18 1/X (1 + 10/15) = 1/18 X = 30
Hence, option 1 is the correct answer.
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