Very broad question to give a specific answer. There are many options for connecting to broadband. At my work, we used to use DSL, which had a peak of 5Mbps. At home I have a 12Mb cable connection. Some people have fiber connections. In my area DSL is almost always less than the rated speed of WiMax. Whereas cable and fiber is almost always faster. The major exceptions are premium and budget tiers. In other words you cannot say which is faster as it varies based upon service, routers, caps and coverage. I always use 3G over wifi. I will always use 4G over wifi. I only use wifi when 3G is not available. The only other time I ever use wifi is if I am tethering my device to a laptop, too much of a power hog otherwise.