Bigwahzoo: that sounds entirely reasonable. Originally, I thought people could simplify it as much as they needed/wished to. When I first thought of the problem, I considered only the starting and ending temperature of the beer (aka water, it's major component) and the rate of heat loss (4.2kJ/kg*C).. it was at that point that I knew my liberal arts education was being stretched to its limits.
So, in short... I like it! 105 minutes seems like it could be a feasible answer.
Everyone agree?
edit: I think there should be some experiments this Friday to check your math, Bigwahzoo.