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TheNightKing
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work rate of men =2x
Work rate of women = 3x
Total work done in 12 days = (40*2x(men's Work) + 20*3x(women's Work))*12
Half work to be done by men in 7 days will be equal to =(140*12x/7)*1/2x(men's Work rate)*1/2(Half work)
gives 60 Men

Answer D.
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TheNightKing
40 men and 20 women together can complete a work in 12 days and ratio of efficiency of a man to a woman is 2:3, find how many men are required to complete half of the work in 7 days?
(A) 70
(B) 35
(C) 30
(D) 60
(E) 45

let 1/m=men's work rate
if efficiency of 20 women=30 men, then,
substituting,
40/m+30/m=70/m=1/12→
m=840 total work units
let x=number of men needed
7(x/840)=1/2→
x=60
D
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40*2x+20*3x = 140x*12 - total work

Half of the work = 70x*12 = 2x*k*7

Number of men needed = 6
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