3 men and 6 womens complete the work in 112 days. 12 men and 8 womens how many days are complete.
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Answer:
3 days
Step-by-step explanation:
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3 men do a piece of work in 16 days or the work involves 3*16 = 48 man-days, or each man does (1/48)th of the work in a day.
6 women do a piece of work in 16 days or the work involves 6*16 = 96 woman-days, or each woman does (1/96)th of the work in a day.
So 12 men do (12*1/48) = (1/4)th of the work in a day and 8 women do (8*1/96) = (1/12)th of the work in a day.
So 12 men and 8 women do (1/4)+(1/12) = (3/12)+(1/12) = 4/12 or (1/3)rd of the wok in a day.
So 12 men and 8 women will complete the work in 3 days.
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