I think packing food for an 11 mile run is unnecessary unless maybe it is a very brutal hilly 11 miles. But then, I carry sufficient fat stores.
At what mileage is carrying food generally a good idea? I did a 30 mile ride yesterday with just 2 water bottles. The last 8 or 9 miles I was feeling kinda burnt out. I was thinking a nice peanutbutter, banana and honey sandwich about half way through might have made those last few miles a bit more enjoyable.