a and b together can complete a piece of work in 35..., Time & Work, General Mathematics

Question:A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. B alone will be able to complete the same work in :

A 42 days 
B 72 days 
C 84 days 
D 96 days

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+ AnswerC

+ Explanationsolution:
(A + B)'s  1 day's work = `1/35` 
     & A's 1 day's work = `1/60`.
`:.` B's 1 day's work = `(1/35 - 1/60)`
                      = `5/420`
                      = `1/184`.
Hence B alone will finish the work in 84 days.

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