Here's a short code snippet from a code who attempted something similar. It's in C#, but it's pretty short and it's just the concept that's of interest.
Determine the Connection Speed of your client
Of course, they could be a temporary speed problem that has nothing to do with the user's connection at the time you test, etc, etc.
I had a similar problem a couple of years ago and just let the user choose between the hi and lo bandwidth sites. The very first thing I loaded on the page was this option, so they could move on quickly.