Putting out approx 6800-7000 Btu, the alcohol stove can heat a litre of water in about 8 min under optimal conditons. It helps if the stove is elevated off the cold surfaces.

Steve, can you elaborate a bit on your set-up, such as what sort of meals you cooked in your 2 cup cup, etc.
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The body betrays and the weather conspires, hopefully, not on the same day.