24 men can do a work in 16 days while 36 women can do the same work in 24 days. In how many days will 8 men and 6 women together complete the same work?

In 16 days the work is done by 24 men
∴ In 1 day the work is done by = (24 x 16) men
In 24 days the work is done by = 36 women
∴ In 1 day the work is done by = (36 x 24) women
∵ (16 x 24) men = 36 x 24 women
⇒ 1 man = (36 x 24)/(16 x 24)
⇒ 8 men = [(36 x 24)/(16 x 24)] x 8 =18 women
∴ 8 men + 6 women = (18 + 6) = 24 women
∵ 36 women do 1 work in 24 days
∴ 24 women do 1 work in 24 x 36 / 24 = 36 days