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Differential EquationsMediumModels & Qualitative Behavior

Models & Qualitative Behavior · Medium problem

Two identical metal pieces, both at 100∘100^\circ, cool in the same 20∘20^\circ room. Piece A obeys T′=−0.1(T−20)T' = -0.1(T-20) and piece B obeys T′=−0.2(T−20)T' = -0.2(T-20). After 55 minutes, by how many degrees is B colder than A? Give an exact answer.