Q: When the Rapture occurs, how long before my pet is rescued?

A: The timing is contingent on the number of subscribers we have in each state/region and travel distance.  Our rescuers know that this is a time sensitive service.  Pets’ lives are at stake.  We will limit the number of subscribers in each zone so that any given rescuer will not be over burdened. Naturally, we must anticipate that there will be widespread chaos and confusion immediately following the Rapture that could impact travel times.  Thus, we are targeting a maximum of between 18- 24 hours from realization of the Rapture, to animal rescue.

Eternal Earth-Bound Pets is really owning the niche market of Rapture-related pet abandonment.  (via)