My sister was induced on the 12th, when she hit the 2 week overdue date. She had her daughter on the 18th. So, she was in the hospital in full labor for about 5 days. They finally did c-section because once they broke her water you can only go 24 hours before c-section. Or, if the baby goes into distress. For her it was the 24 hour rule.
Induction is usually not the way to go.... it takes a long time. Why did they induce only one day after her due date? Usually they wait a couple of weeks, and induce at the 2 week late mark. You have better rate with induction if they are "over-due". But mom's are real impatient now, so they are demanding induction - then it just sucks more for them. Not saying that's what your friend did.
have they broken her water? have her ask when they are going to break her water or strip her membranes?
Her Dr should be talking her through all this, though. Make sure she's asking questions to the staff at the hospital.
Good luck to your friend.
ETA - I just saw the high blood pressure thing - if she's got high blood pressure they probably won't let her go too long before they do a c-section.