A can do one-fourth of a work in 5 days and B can do two-fifth of the work in 10 days. In how many days can both A and B together do the work?

1
\(12\frac{1}{9}\)
2
\(11\frac{1}{9}\)
3
\(13\frac{1}{9}\)
4
\(10\frac{1}{9}\)

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