The hour hand of a clock is 6 inches long and the minute hand is 8 inches long. What is the ratio of the distance in inches traveled by the tip of the hour hand to the distance in inches traveled by the tip of the minute hand from noon to 8 p.m.? Express your answer as a common fraction.
ratio of the distance is equal to radius of hour and minute hands. So ratio is 6:8 = 3=4