Explanation:

- A can complete the work in 24 days. Their work rate is \( \frac{1}{24} \) of the work per day.

- B can complete the work in 80 days. Their work rate is \( \frac{1}{80} \) of the work per day.

- The working pattern follows: B works for 2 days and A works on the 3rd day repeatedly.

- In 2 days, B completes \( \frac{2}{80} = \frac{1}{40} \) of the work.

- On the 3rd day, A completes \( \frac{1}{24} \) of the work.

- Combining their efforts every 3 days: \( \frac{1}{40} + \frac{1}{24} = \frac{3}{120} + \frac{5}{120} = \frac{8}{120} = \frac{1}{15} \).

- In 3 days, they complete \( \frac{1}{15} \) of the work.

- To complete the whole work, 15 cycles of 3 days are needed, totaling 45 days.

So, the correct option is:

Option: 2, 45