4 men and 10 women were put on a work. They completed ⅓ of the work in 4 days. After this 2 men and 2 women were increased. They completed ²⁄₉ more of the work in 2 days. If the remaining work is to be completed in 3 days, then how many more women must be increased?
Remaining work
4 men + 10 women do 1 work in 12 days.
6 men + 12 women do 1 work in 9 days.
48 men + 120 women = 54 men + 108 women
⇒ 6 men = 12 women
⇒ 1 men = 2 women
∴ In 12 days 1 work requires 9 men
∴ In 1 day 1 work requires 9 × 12 men
∴ In 3 days 1 work requires
men
∴ In 3 days ⁴⁄₉ work requires
men
There are 6 men and 12 women or (12 men equivalent)
So, 4 men equivalent is required additionally
∴ 8 women are needed to finish the work.