Each question consists of three statements A, B, and C. Determine which statement(s) are necessary to find the answer:

6 men, 9 women, and 5 children can complete a work in 14 days. In how many days can 12 men, 3 women, and 5 children complete the same work?

A. 20 men and 30 women can complete the same work in 5 days.

B. The work done by 2 men is equal to that done by 3 women.

C. 6 children can complete two-thirds of the same work in 28 days.

Question

Each question consists of three statements A, B, and C. Determine which statement(s) are necessary to find the answer:

6 men, 9 women, and 5 children can complete a work in 14 days. In how many days can 12 men, 3 women, and 5 children complete the same work?

A. 20 men and 30 women can complete the same work in 5 days.

B. The work done by 2 men is equal to that done by 3 women.

C. 6 children can complete two-thirds of the same work in 28 days.

Accepted Answer

**Solution:**

1. The question requires finding the number of days 12 men, 3 women, and 5 children will take to complete the work.

2. Statement A gives the combined work rate of 20 men and 30 women.

3. Statement B relates the efficiency of men and women by stating that 2 men do the same work as 3 women.

4. Statement C provides information about the work rate of children.

5. Using A and C, we can find the relative efficiencies of men, women, and children by comparing their combined work rates.

6. Using A and B, we can also establish the ratio of efficiencies between men and women.

7. Using B and C, we can relate men, women, and children efficiencies to calculate the required time.

8. Therefore, to solve the problem, statement C is essential along with either A or B.

**Answer:** C and either A or B

Answer

Answer

Answer