Question

If 4 men and 3 women can do a work in 8 days . 6 men and 9 women can do the same work in 4 days. In how many days can 20 men and 6 women do the same work.​

Answer 1

Answer:

let the total work be 24 units

let m = work done by men in one day , and for women = w

work done by 4 men and 3 women in one day is 24/6 = 4 units , 4m+3w = 4

work done by 5 men and 7 women is one day is 24/4 = 6 units , 5m+7w = 6

solving the equations we get, work done by 1 men in one day m = 10/ 13 and women w = 4/13

Together they do total work = 14/13 units in one day

to complete the work 24 units its takes 24*13/14 = 156/7 days