If they were arrested as a result of a search warrant being executed - it all depends on what the search warrant was for (what crime/offense) and whether the evidence being searched for was found (I'm assuming it was).
Depends on what the warrant is for
24 hours
It depends on what the offense is that you are wanted for.
There is no special clock because of a search warrant, a search is just another investigation tool.
I presume you mean a bench warrant, not a beach warrant. You can remain in jail either until a new bail is set and is posted, or until the case is resolved.
In this economy, they can no longer easily jail someone for this, so they may not period until the economy picks up.
There are no SOL's relating to warrants. A warrant will remain active and valid until the named individual voluntarily surrenders or is taken into custody by authorities.
Ten Days
Can last up to fifteen days.
As long as the address, or description, of the property/premises named in the search warrant is legally "sufficient" a name is not necessary.
4 days
24 hours