A and B can do a piece of work in 12 days and 6 days, respectively. Both work for 2 days and then A leaves. B completed the remaining work alone. The whole work was completed in ______________ days.
5
Combined rate of A and B: \(\tfrac1{12}+\tfrac16 = \tfrac{1+2}{12} = \tfrac14\) per day.
Work done in 2 days: \(2\times\tfrac14 = \tfrac12\). Remaining work: \(\tfrac12\).
Time for B alone to finish: \(\dfrac{1/2}{1/6} = 3\) days.
Total time: \(2+3 = 5\) days.
Hence, the whole work is completed in 5 days.
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