a is twice as good a workman b and together they complete..., Time & Work, General Mathematics

Question:A is twice as good a workman as B and together they complete a work in 15 days. In how many days can the work be completed by B alone?

A `22 1/2` 
B `30` 
C `37 1/2` 
D `45`

/47

+ AnswerD

+ Explanationsolution:
(A's 1 day's work) : (B's 1 day's work) `=2 :1`.
`(A + B)`'s 1 day's work `= 1/15`.
Divide `1/15` in the ratio `2:1`.
B's 1 day's work `=(1/15 xx 1/3)`
                             `=1/45`.
`:.` B alone can finish the work in 45 days.

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