Let the time taken by Vince to complete the race was x hours. Maury completed the race 1.5 hours faster. This means Maury complete the race in (x - 1.5) hours.
Average Speed of Maury = 16 miles per hour Average Speed of Vince = 12 miles per hour
Distance = Speed x Time.
For Maury: Distance = 16(x - 1.5)
For Vince: Distance = 12x
Since the distance covered by both was the same, we can equate the two equations as:
16(x - 1.5) = 12x 16x - 24 = 12x 4x = 24 x = 6 This means Vince complete the race in 6 hours.
Distance = Speed x Time = 12 x 6 = 72 miles
Thus, the total distance of the race was 72 miles.
Start: 8 a. m. Finish: 1 : 30 p.m. = 13 hours 30 minutes 13 h 30 min - 8 h = 5 h 30 min She should record 5 hours and 30 minutes on her time card for the day.
