# A alone can complete a work in 12 days. A and B together can complete it in 8 days. How long will B alone take to complete the work?

A alone can complete a work in 12 days. A and B together can complete it in 8 days. How long will B alone take to complete the work?

[A]20 days

[B]24 days

[C]16 days

[D]18 days

**24 days**

A’s one day’s work $latex = \frac{1}{12}&s=1$

(A + B)’s one day’s work $latex = \frac{1}{8}&s=1$

∴ B’s one day’s work =

$latex = \frac{1}{8} – \frac{1}{12} = \frac{3-2}{24} = \frac{1}{24}&s=1$

∴ B alone can do the work in 24 days.

Hence option [B] is the right answer.