score:5
If it's bought as one trip (which seems to be the case), it's their responsibility, so if it seems possible they will do what it takes, whether that's assigning a staff member (with or without a "golf" car) to help you, or giving you instructions on the fastest way. If they fail they might upgrade you to get you on a later plane towards your destination (you'll probably be eligible for compensation, so they have another clear interest in getting you to where you want to be), they might also be allowed to give you a ticket for a train or something (probably not relevant).
If it is two tickets you bought seperately it's your responsibility, so take care if you have to do that.