AFCAT Model Paper 2

Given: 9 women can complete a piece of work in 360 days 18 children can complete the same piece of work in 72 days 12 men can complete it in 162 days Concept Used: Work done by a person in 1 day $= \frac{1}{n}$ Where n = Number of days to complete the whole work by that person Calculation: 1 woman's 1 day's work $= \frac{1}{360} \times \frac{1}{9} = \frac{1}{3240}$ 10 women's 1 day's work $= \frac{1}{324}$ 1 child's 1 day's work $= \frac{1}{72} \times \frac{1}{18} = \frac{1}{1296}$ 4 children's 1 day's work $= 1 \times \frac{4}{1296} = \frac{1}{324}$ 12 men's 1 day's work $= \frac{1}{162}$ Now, (4 children $+12$ men $+10$ women)'s 1 day's work $= \frac{1}{324} + \frac{1}{162} + \frac{1}{324}$ $(4$ children $+12$ men $+10$ women)'s 1 day's work $= \frac{1}{324} + \frac{2}{324} + \frac{1}{324} = \frac{4}{324} = \frac{1}{81}$ ∴ Hence, the required number of days is 81 days