Quantitative Aptitude Time and Work

A alone can do \(\frac{1}{2}\) of a work in 5 days and B alone can do \(\frac{1}{3}\) of the same work in 4 days. How many days working together will they finish the work? 

1
\(2 \frac{2}{9}\) days
2
3 days
3
9 days
4
\(5\frac{5}{11}\) days

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