Question

4 men and 6 boys can do a piece of work in 20 days.Is is done by 3 Men and 4 boys in 28 days.How long would it take for 1 man or 2 boy to do it.​

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

hope it helps

y=280 days