Question

2 men and 5 boys can do ½ a piece of work in 5 days . Again 3 men and 4 boys can do ⅓ of the work in 3 days. How many days will 9 men take to complete the work

Answer 1

Let m be men, and b be boys. Then:

2m+5b=1/5 (Since it takes them 5 days to finish)

and

3m+4b=1/3 x 1/3 (They do 1/3 of the work in 3 days)

=1/9

10m+25b=1

27m+36b=1

Solve for m