P can finish \(\frac{4}{5}\text{th}\) of the work in 16 days, Q can finish \(\frac{11}{12}\text{th}\) of the work in 22 days while R can finish \(\frac{14}{15}\text{th}\) of the work in 28 days. All of them began the work together, but P had to leave the work after 5 days of the start and Q leaves the work 3 days before the completion of the work. How many days did the work last?

1
\(10\frac{2}{9}\) days
2
\(9\frac{6}{9}\) days
3
\(11\frac{2}{3}\) days
4
10 days
5
None of these

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