Final answer:
To find out how much time the truck driver will take to cover the same stretch of highway at an average speed of 108 km/h, we calculate the distance covered at the original speed and then divide by the new speed. The driver initially travels 432 kilometers at 96 km/h, and at the speed of 108 km/h, the trip would take 4 hours.
Step-by-step explanation:
To determine how much time a truck driver will take to cover the same stretch of highway at a different speed, we can use the formula for average speed, which is average speed = distance / time. First, we need to calculate the distance the truck covered when traveling at 96 km/h for 4 1/2 hours.
4 1/2 hours is the same as 4.5 hours. The distance can be found by multiplying the speed by the time:
Distance
= 96 km/h * 4.5 h = 432 km.
Now we know the distance is 432 kilometers. To find out how much time it will take to drive the same distance at a speed of 108 km/h, we divide the distance by the new speed:
Time
= 432 km / 108 km/h = 4 hours.
Therefore, the truck driver would take 4 hours to cover the same stretch of highway at a speed of 108 km/h.