The following distance to the car ahead was roughly 50 feet, which at 10 MPH is more than enough distance. The issue wasn't that I couldn't stop in time, the issue was that I wasn't able to accelerate to get out of the skid without ending up being too close knowing that the car in front of me was going to have to slow down more. The car that shouldn't have been on the road, or should have pulled over to let the line of traffic that I was by in was 3 cars ahead of me, not the one immediately in front of me. The car immediately ahead never did anything wrong in the 3 miles that I was in this line going a max speed of 15 MPH that the idiot at the front created. Had all of this happened at a speed where my car wasn't sliding sideways down the banking, like, 15 MPH instead of 5 MPH, the slide never would have occurred in the first place.
The area this happened was particularly slick. The guy who pulled over to make sure I was OK couldn't stop on this hill and ended up having to walk about 200 feet back up the hill to check on me, because that's how far down the hill he eventually stopped.