2 devices with different bit rates

I am trying to interface the Arduino with both a Parallax RFID reader and a ds1307 clock. I have them both working separately, but I’d like them to work at the same time. The RFID reader uses a serial bps of 2400 while the clock runs at 19200. Is it possible to have these two devices working with the Arduino simultaneously, and, if so, does anyone have any suggestions as to how to do this?

Thanks so much for any help!