I like what people are saying about how it wouldn't matter. I that's true, cause if you really liked the person you could always get different jobs if you didn't want the complications, but then again, if you really liked them why wouldn't you want to see them at work. I feel for people who get bored of relationships so fast, and feel even more for the other person in the relationship. But the main thing you should be asking is "which is more important, work or this girl?". I think there you'll find your answer.
i dont see any trouble in that, infact working together is good since one can discover each other more , and spend lots of time together.