A can complete a work in 12 days and B can complete the same work in 24 days. Find the time taken by both A and B together to complete the work.

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RRB NTPC Exam 27 Jan 2021 click here to view all questions

A can complete a work in 12 days and B can complete the same work in 24 days. Find the time taken by both A and B together to complete the work.

A8 days

B10 days

C6 days

D9 days

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correct answer is: option a (8 days) Explanation: Let A's one day work be $\frac{1}{12}$ and B's one day work be $\frac{1}{24}$. Then, (A + B)'s one day work = $\frac{1}{12} + \frac{1}{24} = \frac{2+1}{24} = \frac{3}{24} = \frac{1}{8}$. Therefore, A and B together can complete the work in 8 days. Akhilesh ? answered Mar 31 '25 at 21:54

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