(Solution) - Professor Farlow always has a cup of coffee before his -(2025 Original AI-Free Solution)

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Professor Farlow always has a cup of coffee before his 8:00 AM differential equations class. Suppose the coffee is 200° F when poured from the coffee pot at 7:30 AM, and 15 minutes later it cools to 1 20°F in a room whose temperature is 70°F. However, Professor Farlow never drinks his coffee until it cools to 90°F. When will the professor be able to drink his coffee?