Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race?
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then x/8 + (15 - x)/20 = 1.125 5x + 2(15 - x) = 40 x 1.125 5x + 30 - 2x = 45 3x = 45 - 30 = 15 x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
