Quantitative Aptitude Time and Work Work Efficiency

A and B alone can do a piece of work in 4 and 9 days, respectively. In how many days will the work be completed, if they both work on alternate days, starting with B? 

1
\(5\frac{1}{3}\)
2
\(5\frac{2}{3}\)
3
5
4
\(5\frac{1}{4}\)

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