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 1 minutes later has cooled to 175 degrees in a room at 66 degrees, determine when the coffee reaches a temperature of 125 degrees.


The coffee will reach a temperature of 125 degrees in ________ minutes.