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Question

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


Options:
A .  30 days
B .  35 days
C .  40 days
D .  None of these.
Answer: Option A

Suppose  B takes `x` days to do the work.

`:.`     A take `(2 xx 3/4 x) =  (3x)/(2)` days to do it.

(A + B) 's 1 day's work = `1/18`

`:.`       `1/x + (2)/(3x) = 1/18   or  x = 30.`



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