A, B, C, D, E, and F live on six different floors of the same building. The lowermost floor is numbered 1, and the topmost is numbered 6. E lives on the floor immediately below F's floor. D lives on the 2nd floor. C lives on the floor immediately below A's floor. F does not live on the 5th floor. On which floor does B live?
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for the first half of the day daily, then in how many days will A and B together complete the work?
15 days
\( \frac{22}{3} \) days
\( \frac{43}{2} \) days
\( \frac{40}{3} \) days