If 4 men or 6 women can do a piece of work in 12 days working 7 hours a day, how many days will it take to complete a work twice as large with 10 men and 3 women working together 8 hours a day ?

Solution(By Examveda Team)

According to the question,
4 men = 6 women
2 men = 3 women
10 men + 3 women = 10 men + 2 men
10 men + 3 women = 12 men.....(i)
$$\frac{{{4_{{\text{men}}}} \times {{12}_{{\text{days}}}} \times {7_{{\text{hours}}}}}}{{{{\text{1}}_{{\text{work}}}}}} = $$      $$\frac{{{{12}_{{\text{men}}}} \times {{\text{D}}_{{\text{days}}}} \times {8_{{\text{hours}}}}}}{{{{\text{1}}_{{\text{work}}}}}}$$
$$\eqalign{ & {\text{After solving we get}} \cr & {\text{D}} = 7{\text{ days}} \cr} $$