A and B together can finish a work in 9 days. A alone can finish the work in 12 days. In how many days will B alone finish the work ?
Let B completes the given work in 'n' days.
A completes the work in 12 days.
A and B complete the work in 9 days.
Hence,
$$9\times(\frac{1}{12}+\frac{1}{n})=1$$.
$$\frac{1}{n}=\frac{1}{9}-\frac{1}{12}$$.
$$n=36$$.
Therefore, Option D is correct.
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