Given: Sixteen men can complete a work in 24 days Twenty four women can complete the same work in 32 days Concept used: x man can complete a work in n days So total work = xn Calculation: 24 men can complete the work in 16 days 1 man can complete the work in = 16 × 24 ⇒ 384 days 32 women can complete the work in 24 days 1 woman can complete the work in = 32 × 24 ⇒ 768 days Ratio between man and woman = 384 : 768 =1 : 2 then 1 man = 2 women 16 women = 8 men So, the number of men complete the work in 12 days = 16 + 8 = 24 men Since 24 men takes 16 days to complete the work So, after 12 days, 4 days’ work will be left for 24 Men So, the work left can be completed in 2 days by = 4/2 × 24​ ⇒ 48 days Additional men required to complete the work in 2 days = 48 – 16 = 32 men ∴ More 32 men is required to complete the work in 2 days