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.
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.
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