Question 114

12 men can complete one-third of the work in 8 days.In how many days can 16 men complete that work?

Solution

12 men can complete the work in $$(3\times8 = 24)$$ days
Work done by 12 men in 1 day = $$\frac{1}{24}$$
Work done by 1 man in 1 day = $$\frac{1}{24\times12}$$
Work done by 16 men in 1 day = $$16 \times(\frac{1}{24\times12}) = \frac{1}{18}$$
Hence, 16 men will take 18 days to finish the work.


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