A can do three-seventh of a work in 15 days and B can do two-fifth of the same work in 14 days. If A and B work together, then how long (in days) will they take to complete the work?
1
\(15\frac{1}{4}\)
2
\(15\frac{3}{4}\)
3
\(18\frac{1}{4}\)
4
\(17\frac{1}{2}\)