5 men and 8 women do work in 34 days 4men and 18 women do in 28 days 3 men and 5 women do in how many days

56 Days let x and y be time taken by men and women individually to complete work 5(1/x) + 8(1/y) = 1/34 --->(1) 4(1/x) + 18(1/y) = 1/28 ---> (2) Solve Equations 1 and 2 you will get x (Men) efficiency as 34*7 days and women efficiency as 34*28 days Now 3 men and 5 women 3(1/34*7)+5(1/28*34) computing it we will get --> 1/34(3/7 + 5/28) = 1/34(17/28) = 1/56 so 3 men and 5 women will take 56 days to complete the work.