Final answer:
The car will catch up with the truck 360 miles from point A. The time taken for the car to catch up is 4 hours, which is found by dividing the truck's head start distance by the relative speed and then multiplying the result by the car's speed.
Step-by-step explanation:
The student is asking about the time and distance it will take for a car traveling at a higher speed to catch up with a truck that left earlier at a lower speed. To solve this problem, we can use the concept of relative speed and distance covered by both vehicles.
First, we calculate the head start distance of the truck, which is 60 mph × 2 hours = 120 miles. Now, the car leaves from point A and needs to cover the head start distance plus the distance the truck travels while the car is in motion.
The relative speed between the car and the truck is 90 mph - 60 mph = 30 mph. This is how much faster the car is than the truck. To catch up, the car needs to cover the truck's head start of 120 miles. We calculate the time it takes for the car to catch up by dividing the head start distance by the relative speed: 120 miles / 30 mph = 4 hours.
The car will catch up with the truck after 4 hours of travel. Since the car travels at 90 mph, we can find that the car will catch the truck at a distance of 90 mph × 4 hours = 360 miles from point A (Option D).