Reddit reviews Printmaking: A Complete Guide to Materials & Process (Printmaker's Bible, process shots, techniques, step-by-step illustrations)

There are several variables that come into play, but you should be able to get 10-15 quality prints in any case, and maybe more. The two main factors are pressure (required to transfer the ink) and abrasion (from cleaning, etc)

Things that affect longevity would be:

1. greater detail = faster degradation. Unfortunately. You can hand-print on thinner paper, and this will decrease the pressure on fragile lines.
   
2. carving style. If you carve deeply, without a widening base to support the linoleum, it will crumble faster.
   
3. number of runs. The more you wash and scrub your block, the shorter its lifespan will be.
   
   Check out this complete guide to printmaking for pros/cons and how-to's for many types of printmaking.
   
   I can send you some other good resources when I get home..