Heck, I still RP'ed when I worked 84 hours a week. I just made sure to prioritize the important roleplays. I figured out what I wanted to post before I did so, sat down, and did them quickly. I read before I left for work, and posted when I got back. They were lesser quality, but at least I could keep up. 

I'm always in slower Rp's though, that helps. Fast daily Rps?  Yeah, I don't know.