Give us some more info ...

What kind of zip drive do you have? parallel-port, scsi or ATAPI?

If you use KDE there should be a super user file manager use it or log into a terminal window or console and look at your /etc/fstab file (from a console: less /etc/fstab). You should see two entries for your cdroms something like this:
...
/dev/cdrom0 /mnt/cdrom0 iso9660 defaults,ro,user,noexec,noauto 0 0
/dev/cdrom1 /mnt/cdrom1 iso9660 defaults,ro,user,noexec,noauto 0 0
...
then as root make the necessary mountpoints by;
mkdir /mnt/cdrom0
and
mkdir /mnt/cdrom1
in a console

or by creating the new directories in the super user file manager by navigating to /mnt directory and right clicking, new directory.

HTH

rock