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Ravi can do a piece of work in 15 hours while Raman can do it in 12 hours. How long will both take to do it, working together?

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

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

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

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

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

∴ They can do the work together in \(\frac{20}{3}\) hours = \(6\frac{2}{3}\) = 6 hours 40 min

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