$A$ and $B$ can complete a piece of work in $30 \text{ days}$,$B$ and $C$ can complete the same work in $20 \text{ days}$,and $A$ and $C$ can complete it in $15 \text{ days}$. If all of them work together,the time taken to complete the work will be? (in $days$)
- A$10$
- B$12$
- C$12 \frac{2}{3}$
- D$13 \frac{1}{3}$
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