Differential EquationsSuperchallengeModels & Qualitative Behavior
Models & Qualitative Behavior · Superchallenge problem
Two identical cups of coffee are poured at C in a C room. Each cup obeys Newton's law of cooling, and in minutes the excess temperature over the room is halved. Into cup A, cream at C is added immediately; into cup B, the same cream is added after minutes. The cream is one part to nine parts coffee, and mixing gives the volume-weighted average temperature (same heat capacities). At the -minute mark, right after cup B gets its cream, how many degrees warmer is cup A than cup B?