Actually, there’s no exact answer on this question. The Akatsuki can extract the Bijuu from Jinchuuriki within 1 day or 2 days or 3 days or whatever. This is all of course depend on their Chakra.

Shown in Naruto Shippuuden episode 10

In the case of the extraction of Shukaku from Gaara-Sama, the leader decided to do the extraction within 3 days without any pause.

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