Usually I ride on my own, for various reasons. Over the years I've been stranded about six times, three times with sidewall blowouts and three times with broken pumps. Lessons learnt: don't buy cheap pumps, align brakeblocks so they don't rub on the tyre and, like, change the tyre when the innertube starts poking through...

Happily every time I was either able to walk home, to the nearest train station or beg the use of a pump from a passing cyclist. Current pump is a fat-barreled mini pump, think it's a Topeak something, it has been used so much all the decals have rubbed off but it will go to 90psi and has been very reliable so far...