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# A alone can complete a work in 12 days and B alone can complete the same work in 24 days. In how many days can A and B together complete the same work?

 A) 6 days B) 4 days C) 10 days D) 8 days

 D) 8 days

A's 1 day's work = 1 / 12

B's 1 day's work = 1/ 24

(A + B)'s 1 day's work = $$\Large\frac{1}{12} + \frac{1}{24}$$

=$$\Large\frac{2 + 1}{24} = \frac{3}{24} = \frac{1}{8}$$

(A + B) will finish the work in 8 days.

Part of solved Time and work questions and answers : >> Aptitude >> Time and work

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