I was part of a study many many years ago where the goal was to see how people functioned on little to no sleep. I was allowed 20 minutes of sleep per night. And yes, I had to go about my normal routine as best I could (luckily I did not drive at the time.)
I lasted about 2.5 weeks. Mild performance degradation and personality changes started to occur at day 3. Multiple complex seizures also started. By a week later, I was almost unbearable to be around (so I hear). I called it quits when I started to hallucinate.
I will never do that again. Since then, the most I've gone without has been 36 or so hours. It was just too scary to repeat. If anyone ever asks you to do this type of thing for science take my advice and just say no.