a dose half as much work b in three fourth of the..., Time & Work, General Mathematics

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

A 30 days 
B 35 days 
C 40 days 
D none of these

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+ AnswerA

+ Explanationsolution:
Suppose B takes `X` days to do the work.
`:.` A takes `(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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