I was genuinely interested in the answers, so thanks for the interesting replies. I don't have a dishwasher so I didn't know it could be so quick. I agree spending 10 or 20 seconds or a minute on something that's useful for everybody is not a bad idea.
I'm just not sure how that scales for tasks that require more time. If there is some task that requires 20 minutes, and the company is big enough, do the answers change or do they not? Maybe it is better to hire a dedicated person for the office to do that than to make everyone use 20 minutes of their time every day on such task?