Breaking my water manually at birthing center..

A

So with my first I had what they term a “precipitous labor” which means I had a less than 3 hour labor. I had my first in a birthing center in a tub. We barely got there in time, and I live 45 minutes from the birthing center. I’m having this baby at the same place but this time I have an appt on Saturday at 39+6 to have my water broken manually so I don’t have to worry about possibly not making it there on time. They have no meds whatsoever at the birthing center so my question is for the ladies that have been in the same situation, how long after they broke your water did you go into labor?