A can fill the fully empty tank in 10 hours, B can do the same in 12 hours while C can empty a full filled tank in 15 hours. If A and B, A and C, B and C works alternatively for 1 hour each they can fill the fully empty tank in _____ hours.

1
\(12\frac{4}{{11}}\)
2
\(11\frac{7}{{13}}\)
3
\(8\frac{4}{5}\)
4
\(10\frac{9}{{11}}\)
5
None of the above

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