While escaping from the Borg, the USS Enterprise passes by an inhabited planet at a constal a $v_{\text{E}\text{n}\text{t}\text{e}\text{r}\text{p}\text{r}\text{i}\text{s}\text{e}}=0\mathrm{.}60c.$ The laser clock on board the USS Enterprise registers one "tick" when the planet first comes into view and another "tick" when the planet is out of sight. An alien at rest on the planet looks up and sees the Enterprise fly across the sky in $17\mathrm{.}01$ s$.$ According to the Enterprise's clock, how long did it take to pass by the alien planet? Assume both the alien planet and the USS Enterprise are in inertial reference frames.

A$.21\mathrm{.}263$ s

B$.10\mathrm{.}759$ s

C$.26\mathrm{.}895$ s

D$.13\mathrm{.}608$ s

E$.17\mathrm{.}010$ s