You do realize that this sort of thing can happen if you where to be using a cab, public transportation, your car, or take a ride with a friend. Results will pretty much be the same. With a cab, they can internally communicate with dispatch on the breakdown and they assign other cab, hopefully is one that is close to minimize the wait. Public transportation, well, that depends, most likely they will shuttle a bus to recover all riders and continue through. Your car, or take a ride with a friend, brings you back to using rideshare, cab or public transport.

If an accident, you might be needed as witness in case of injuries, property damage. If you are looking for some sort of compensation for the trouble, the cab might give a discount code for future use, rideshare, they might offer some refund, public transportation. your car, your friend, doubt anything will be given.