Apropos of nothing, but one of the stories I love to tell during interviews was the discovery that a 2,400bps modem was faster than the 56kbps one.
I was designing a "box" to read a group of switches and transfer that switch state information via modem to another "box" at the end of the phone line that replicated the switch on/off positions. During initial testing, I found out that with a 2400bps modem, my system could read the switches, dial the downstream modem and transfer the data and hang up before the 56k modems had even finished negotiating their speeds.
Latency often trumps bandwidth!