If 12 men or 18 women can do a piece of work in 14 days, then how long will 8 men and 16 women take to finish the work?

12 men ≡ 18 women
⇒ 1 man ≡ 18/12 women ≡ 3/2 women
∴ 8 men ≡ (3/2) x 8 = 12 women
∴ 8 men + 16 women = 12 women + 16 women = 28 women
∵ 18 women can do the work in 14 days .
∴ 1 woman can do the same work in (14 x 18) days.
∴ 28 women will do the same work in (14 x 18)/28 days.
∴ Required number of days = (14 x 18)/28 = 9 days