Is it possible to load different webpage based on clients internet speed? If so how?

If you have a website running on any server. And the website comes in three different version: Heavy, Medium and Lite. Now you have to load lite version if clients speed is below certain limit (Lets say 500kbps), Medium version (Lets say >500kbps and <25mbps), Heavy version (Lets say more than 25mbps). Can you do it?

I was thinking making a server side script that first check the connection speed with client (don't know how), then based on the speed result redirecting them to respected website. If there is another way, please do tell...