If 15 men or 24 women or 36 boys wah do a piece of work in 12 days, working 8 hours a day, how many men must be associated with 12 women and 6 boys to do another piece of work $$2\frac{1}{4}$$ times as great in 30 days working 6 hours a day?
15 men or 24 women or 36 boys wah do a piece of work in 12 days.
15M = 24W
1W = $$\frac{5}{8}$$M
15M = 36B
1B = $$\frac{5}{12}$$M
Let 'x' men are required.
Now,
$$2\frac{1}{4} * 15M * 12 * 8 = (xM +12W + 6B) * 30 * 6$$
$$\frac{9 * 15M * 12 * 8}{4} = (xM +7.5M + 2.5M) * 30 * 6$$
(x + 10) = 18
x = 8