Quantitative Aptitude Time and Work Work Efficiency

A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively. How soon can the work be done if A works with B on first day, A works with C on second day and so on?

1
\(8\frac{1}{2}\) days
2
\(9\frac{1}{2}\) days
3
8 days
4
9 days

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