It depends on the length. Single-mode fiber has a longer viable length than multimode because the light inside follows one path. Multimode is made in such a way that the light takes multiple paths through the fiber. Multimode adapters are cheaper than single mode. I'd wager that most campus networks are not using fiber for their building-to-building links at all yet. Most are probably still on CAT5. The ones that are on fiber are more than likely using multimode, but it would vary based on the people who are building the network and their preferences.
As far as speed, neither is explicitly faster than the other, and the speed has more to do with the equipment on either end than the fiber itself. For instance, if you have equipment that can understand multiple wavelengths, it's going to be much faster bandwidth-wise than equipment that doesn't. Likewise, whether or not you're using LEDs or lasers as your light source can impact the potential bandwidth (as well as the potential length). That said, you may be confusing multimode with multiple wavelength. They're not the same thing.
Edit: to clarify, the mode is the angle at which the light enters the fiber (or the angle at which it strikes the wall of the fiber, depending on who you're talking to). Single mode fiber enters at one angle and follows one path through the fiber. Multimode enters at multiple angles and follows multiple paths through the fiber. To compensate for the fact that a wider angle of entry would normally take longer to reach the other end, multimode fiber has a variable density core, which is densest at the center decreasing as it goes out (light travels slower in denser glass/plastic). So, the light that spends more time in the outer part of the core, due to its wider angle of entry, will travel faster, reaching the other end at the same time as the light which travels more slowly through the center of the core due to its narrower angle of entry.