Final answer:
The second vehicle travels the farthest, covering a distance of 117 miles, while the first vehicle travels 126 miles. The second vehicle travels 9 miles less than the first vehicle.
Step-by-step explanation:
To determine which vehicle travels the farthest, we need to calculate the distance each vehicle travels. The first vehicle travels at a speed of 63 miles per hour for 2 hours, so the distance it travels is calculated as:
Distance = Speed × Time
Distance = 63 mph × 2 hours
Distance = 126 miles
The second vehicle travels at a speed of 78 miles per hour for 90 minutes (1.5 hours). To calculate its distance, we use the same formula:
Distance = Speed × Time
Distance = 78 mph × 1.5 hours
Distance = 117 miles
Therefore, the second vehicle travels the farthest, covering a distance of 117 miles, while the first vehicle travels 126 miles. The second vehicle travels 9 miles less than the first vehicle.