Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 190 degrees Fahrenheit when freshly poured, and 2.5 minutes later has cooled to 180 degrees in a room at 62 degrees, determine when the coffee reaches a temperature of 145 degrees. The coffee will reach a temperature of 145 degrees in minutes.

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