Final answer:
The car's average speed for the 200-km trip is 66.67 km/h.
Step-by-step explanation:
To calculate the average speed of a car for a trip, we need to divide the total distance traveled by the total time taken. In this case, the car travels at a constant speed of 50 km/h for the first 100 km, taking 2 hours. Then, it speeds up to 100 km/h for the next 100 km, taking 1 hour. So, the total distance traveled is 200 km and the total time taken is 3 hours. Dividing the distance by the time, we get the average speed as:
Average Speed = Total Distance / Total Time
Average Speed = 200 km / 3 hours = 66.67 km/h
Therefore, the car's average speed for the 200-km trip is 66.67 km/h.