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16 men and 12 women can complete a work in 20 days. 18 women can complete the same work in 40 days. In how many days will 12 men 27 women complete the same work?

Correct Answer: 16 days

Explanation:

(16M + 12W) x 20 = 18W x 40


=> 2M = 3W


Then,
Convert all men into women


12M + 27W = 27 + 12 x 3/2W = 45W


Let number of days required be 'D'


=> 18 x 40 = 45 x D


=> D = 16 days.


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