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 3 men or 5 women can do a work in 12 days. how long will 6 men and 5 women take to do it.

 3men = 5 women 

1 men = 5 / 3 women

6men = 5 / 3 * 6 = 10 women

5 women = 12 days

1 women =  12 * 5 = 60 days

10 + 5 - 15 women

60 / 15 = 4 

Ans: 4 days

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ANS:  Given : 3 men or 5 women can do a work in 12 days.

Required : how long will 6 men and 5 women take to do it.

Since 3 men's work = 5 women's work

Therefore, 1 man's work = 5/3 women's work

6 men is  equivant to  6*5/3 = 10 women

Total workers in term of women available for work are  10 +5 = 15 women

5 women can complete in 12 days

1 woman can complete 12*5 = 60 days

Therefore, 15 women can complete the work in 60/15 = 4 days

Thus, the work can be completed by 6men and 5 women working together in 4 days.

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3 men=5 women

6 men=(5*2) women this implies 6 men =10 women.

We converted men into women this implies that 6 men +5 women = 10 women +5 women= 15 women.

So let's consider the woman part in the given statement. If 5 women can complete a work in 12 days then how much time will 15 women take. To is a question of inverse variation.

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