In a boutique there are two workers and one machine to do the work of weaving. Shikha can finish the work in 10 hours on the machine, while Ruchika can finish it in 15 hours. Both workers Shikha and Ruchika work for an hour on alternate basis. In how many hours will the work be completed, if Shikha starts the work?

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

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