Question 56
28 men can complete a piece of work in 15 days and 15 women can complete the same piece of work in 24 days. What is the respective ratio between the amount of work done by 30 men in 1 day and the amount of work done by 18 women in 1 day?
Solution
Work done by 28 men in 1 day = $$\frac{1}{15}$$
Work done by 1 man in 1 day = $$\frac{1}{28\times15}$$
Work done by 30 men in 1 day = $$\frac{30}{28\times15} = \frac{1}{14}$$
Work done by 1 woman in 1 day = $$\frac{1}{15\times24}$$
Work done by 18 women in 1 day = $$\frac{18}{15\times24} = \frac{1}{20}$$
Required ratio = $$\frac{20}{14} = \frac{10}{7}$$
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