4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days . In how many will 10 women complete it?

4 men and 6 women can complete a work in 8 days while 3 men and 7 women can complete it in 10 days . In how many will 10 women complete it? Correct Answer 40 days

4 men + 6 women = 8 days 4 men + 6 women in 1 day = 1/8 of the work So to finish the work in 1 day require = 32 men + 48 women 3 men + 7 women = 10 days 3 men + 7 women in 1 day do 1/10 of the work So to finish the work in 1 day require 30 men + 70 women 32 men + 48 women = 30 men + 70 women 2 men = 22 women or, 1 man = 11 women   so, 4 men + 6 women = 50 women = 8 days 10 women = 50/10 x 8 = 40 days  ans: 40 days 
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