Given: 8 men can do a piece of work in 24 days 12 women can do a piece of work in 24 days Concept Used: Work = Efficiency × Time Calculation: Since 8 men can do a piece of work in 24 days And 12 women can do a piece of work in 24 days Efficiency of 8Men= Efficiency of 12 Women =x( let ) Now, Total work =x×24=24x units . . . (i) Now, (8 Men +12 Women) together work So, Combined efficiency =x+x=2x−−-(ii) From (i) and (ii), we get Total time to complete the work by (8M+12W)=24x÷2x=12 days ∴ The required time to complete the work by 8 Men and 12 Women together is 12 days.