$A$ can do a piece of work in $14$ days,which $B$ can do in $21$ days. They begin together,but $3$ days before the completion of the work,$A$ leaves. The total number of days to complete the work is:
- A$6 \frac{3}{5}$
- B$8 \frac{1}{2}$
- C$10 \frac{1}{5}$
- D$13 \frac{1}{2}$
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