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People might laugh at you for putting gaffer tape on a split or damaged tyre, but check this out - it actually lasts a lot longer than you'd think.
This tape was applied top of St Helena trail in The Oaks and here you see the result when we got back in to Glenbrook (about 13Km later). There was also a temporary fix inside the tyre which I noticed was giving way when I took it off to replace it, so it's quiet possible the gaffer tape saved the day.
P.S. What do you mean, "Where did you get the tape?", you mean you don't carry some in your backpack always