I realize that it is usually the guys responsibility to ask out a girl for a date. My question is this. Sometimes, I will meet a girl for a brief time and don't know what to do. For example, I went to a local bookstore to conduct some business and ended up talking to this girl who was my age, very attractive, single, and nice. The problem is that I was only there to drop off a form and didn't have much time. I would maybe like to ask her out, but I feel like I need to talk to her and get to know her first.
Would it be appropriate to ask someone out after just one minute of conversation? Any advice?