15 men or 18 women can complete a piece of work in 45 days. If 5 men and 6 women work together then the work will be completed in:
\(67\dfrac{1}{2}\) days
One man's daily work rate is \(\frac{1}{15 \times 45} = \frac{1}{675}\) and one woman's rate is \(\frac{1}{18 \times 45} = \frac{1}{810}\). Together, 5 men and 6 women have a combined rate of \(\frac{5}{675} + \frac{6}{810} = \frac{1}{135} + \frac{1}{135} = \frac{2}{135}\), so the work is completed in \(\frac{135}{2} = 67\frac{1}{2}\) days, matching option (D).
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Select the correct answer using the code given below:
