Lost somewhere, I suppose. It seems clear to me that the carriage stopped. Just as it would not have carried on literally non-stop for ten days, 24 hours a day. These details are not stated; they do not need to be. And at the end, the man tells the driver to drive on. If this is an imperfection in the story, it is nothing more than a hyperbolic use of "non-stop", as trifling as the extraneous "to" in the passage you quoted, which does not seem to have held you up.