A and B together can do a piece of work in 5 days and A alone can do it in 8 days, then B alone can do the same piece of work in :

A and B together can do a piece of work in 5 days and A alone can do it in 8 days, then B alone can do the same piece of work in :
[A]16\tfrac{4}{5}days
[B]13\tfrac{1}{3}days
[C]12\tfrac{3}{5}days
[D]11\tfrac{1}{3}days

13\tfrac{1}{3}days
(A + B)’s 1 day’s work =\frac{1}{5}
A’s 1 day’s work =\frac{1}{8}
∴ B’s 1 day’s work =\frac{1}{5}-\frac{1}{8}=\frac{8-5}{40}=\frac{3}{40}
∴ B alone will complete the work in \frac{40}{3}=13\tfrac{1}{3}\ days.
Hence option [B] is correct answer.

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