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?

1
15 days
2
\(\frac{{22}}{3}\) days
3
\(\frac{{43}}{2}\) days
4
\(\frac{{40}}{3}\) days

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