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.


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