It actually solves a lot, and I contact people on all continents multiple times per day. Currently when you want to schedule a meeting with a person in another timezone you need to do a bit of very confusing math (it's simple addition and subtraction, but one-off errors are rampant) and translate their time to yours. Most of the time both parties try to do it and it gets confusing. Lots of "your time or my time" questions. With universal time you both work with the same clock.