Answer:
Once the legal process of extradition between the states has begun there is no statutory time limit on the process. It takes as long as it takes. It is by no means a fast process and can take varying amounts of time as the two states go through the steps to satisfy the legal requirments of the extradtion. It can take even longer if the arrestee fights it. If held more than 90 days I would suggest filing a writ of Habeus Corpus with the holding state.