The question given below is followed by three statements (I), (II), and (III). Which of the following statement or statements is/are required to answer the given question?

If 16 men and 24 women together can complete a work in 20 days, then find the number of days in which 24 men and 24 women together can complete the same work?

(I) 12 men and 30 women together can complete the same work in 20 days.

(II) Total work done by two men is equal to the total work done by three women.

(III) 32 men can do 50% of the same work in 10 days.