About how long does it take to evict a renter for non payment after serving 3 day notice?

Depends on your locality. You need to file for an eviction order on the 4th day. Depending on the court calendar it could be anywhere from a few days to a month or more before a hearing is set. After the hearing it may be up to 2 weeks before you can have a sheriff physically remove them.

You file in court, ( how long does your court take to serve papers )
So you have about a week to two week. Then you have court and the judge may give them 3 days to more depending