If the half-life of the drug is 2 hours, then in 2 hours 0.6 mg of the drug becomes 0.3 mg. In two more hours (4 hours total) it is 0.15 mg, 2 more hours (6 hours) .075 mg. In two more hours (8 hours) it is .0375 mg, rounded to 0.04. The answer is 8 hours.