If A turns clockwise at 15 rpm how fast and what direction will pulley B turn?

A simple enough question, but complicated by so many possible variations. For instance, place two cog wheels together so that their teeth mesh. Turn cog A clockwise and cog B will turn anticlockwise (counterclockwise in America). But if you replaced the toothed cogs with a pair of single pulley wheels with some distance apart. Pulling on the rope would turn the top pulley A clockwise and the pulley wheel B clockwise also. But, let us suppose that the rope has been deliberately twisted (not straightly laid) then the pulley B would be turning anticlockwise when the pullet A was turning clockwise.
The rate of travel (RPM) would depends on the diametres of the pulley wheels - variations once more!