5cm and still walking around.

I am frustrated i was having contractions every 2 minutes so they checked me and i was at a 3 1/2cm 50% but wasn't making progress apparently so they sent me home. The next day i was checked at my dr. Now i am at a 5cm 60%... They still won't admit me. I am frustrated. This is my third baby and i live an hour away from the hospital. Dr wants to induce but, the hospital won't let her bc i am not yet 39 weeks. But i am 5cm!!!! What is it gonna take?! My body is worn down.