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 192 degrees F when freshly poured, and 8 min later has cooled to 182 degrees F in a room at 80 degrees F, determine when the coffee reaches a temperature of 160 degrees F.