What is the lifetime of an x-ray binary? What would be the typical lifetime of an x-ray binary? I have trouble finding a reference.
I am not an expert on the topic but probably you have to specify in your search which mass regime are you looking for (low or high mass x-ray binaries). Accretion time must be important and depends on the mass. High-mass stars are young (very short life) &lt; $10^7$ years. This reference is quite old but probably helps a bit:

The Average X-Ray Lifetime of Massive X-Ray Binaries
Observations of accretion disks in X-ray binaries
X-Ray Binaries