This would really just be fun. But it might be neat to have a badge or stat for the response time between a question is asked and an accept answer is given. So it would be the time between the original question and the original answer (Time of when it is actually accepted doesn't matter). Edited answers would probably have to exempted so as not encourage people just putting something in a fast as possible and then editing it.
For example, a Badge might be something like:
"The Flash: Gave 100 unedited accepted answers within 20 seconds of the question being asked."