Ping is unrelated to bandwidth. A ping represents the amount of time it takes for one packet to travel round trip from your computer to a remote computer. THere are many things that impact ping including the distance between servers, and the type of cable between the two sites. For example, you could have a 256/256 direct connection to a box in the next room and probably get a pretty good ping (10-30ms probably) but you could also have a satellite connection and when you try to ping the box in the next room over that connection you would get 400-500ms.