See, if you'd been in the UK, your delivery would have been handled very differently. Once your waters break, you have 24 hours to dispel the baby before they admit you, and start you on IV antibiotics, and augment the labour with syntocin, if you're not dilating. When I had my son, the guideline was 48 hours (my waters broke a few hours before active labour kicked in), but they've reduced it since then. If you're transverse, you're given a section at approx 38 weeks. If you're breech, they're reluctant to let you deliver vaginally. All guidelines are drawn up centrally and have to be obeyed right down the line, to stop litigation, basically. BUT you have the right to refuse anything you're not happy with and ask for different care options all the way through, provided it doesn't compromise yours or the baby's immediate safety.
Everyone labours so differently. Here, it's around 511, but I was contracting for 40 seconds every 4 minutes at 9cm. By the time I was in transition, I was contracting for 90 seconds every 2 minutes. The time between that change was 10 minutes, during which we were driving to hospital with me desperately trying not to push! Hence, homebirth this time, lol.
For instance, in the UK, it's standard to be offered induction of labour between 10 and 14 days post term, some places are 7d though. The risk of stillbirth increases quite a bit after 42w and quite a lot more after 43w. However, if you refuse (and they put all sorts of pressure on you not to refuse, they seem to think being pregnant for a few more days than they deem fit makes you MENTAL), you're offered daily CTGs until the baby chooses to come out. Personally, I'd rather have the more intensive antenatal care than be buggered up by a unnecessary induction and all the problems that can lead to.
Birth isn't a medical emergency, 70% of the time. I don't get why people treat such a very natural thing so clinically. Yes, it can go horribly, hideously wrong and I certainly don't advocate unassisted birth at all (although I can see that it's a rebound on the overmedicalisation of the process, esp in the USA), but most of the time, left to get on with, a baby WILL get out without assistance.