Question

4 men and 6 women can finish a piece of work in 20 days while 3 men and 4 women can finish it in 28 days find the time taken by one women alone and one men alone to finish that work

Answer 1

let time taken by one man alone=x days

time taken by one boy alone =y days

4/x+6/y=1/20

3/x+4/y=1/28

8/x+12/y=1/10

9/x+12/y=3/28

-1/x=(14-15)/140

x=140 days

4/x+6/y=1/20

6/y=7-4/140

y=280 days