It would make math easier but job miserable
think about it though if there were 100 seconds in a minute than there would be 100 minutes in an hour and only 8.64 hours in a day unrounded numbers like that aren't popular.
It is all to do with the planets.
The first civilizations to divide the day into segments used either ba<x>se 12 or ba<x>se 60 as the foundation for their numerical systems. This means that divisions are ba<x>sed around 3, 6, 12, 24, etc. The tradition has simply been maintained due to the fact that to alter it would require a fundamental rearrangement on a global scale of how we organize time. American and Britain still use the Imperial system for weights and measurements instead of the decimal system (to a large extent not completely) just imagine how hard it would be to alter all the clocks, computers, electronic systems and even the way people think to accommodate a new time system!!<br />
This article can explain the reasons in far more detail if you're interested - http://www.scientificamerican.com/article.cfm?id=experts-time-division-days-hours-minutes
They actually tried doing this earlier, and it screwed things up. It had to do with an early ba<x>se system.