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A can finish a piece of work in 12 hours while B can finish it in 15 hours. How long will both take to finish it, working together?

A. 9 hours

B. \(6\frac{2}{3}\) hours

C. \(6\frac{3}{4}\) hours

D. \(8\frac{1}{3}\) hours

1 Answer

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Best answer

Number of hours A required do a piece of work: 12

Number of hours B required do a piece of work : 15

Work done by A in one hour: \(\frac{1}{12}\)

Work done by B in one hour: \(\frac{1}{15}\)

Work done by A and B together in one hour: \(\frac{1}{12}+\frac{1}{15}=\frac{9}{60}=\frac{3}{20}\)

∴ They can do the work together in \(\frac{20}{3}\) hours = \(6\frac{2}{3}\) hours.

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