A and B can do a work in 6 days, whereas B and C can do the same work in 9 days. It is known that B is twice as efficient as C. How many days will it take for A, B and C to finish the entire work together?

1
5\(\frac{1}{6}\)
2
4\(\frac{10}{11}\)
3
4\(\frac{7}{9}\)
4
5\(\frac{3}{7}\)

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