Final answer:
Train A has a rate of 90 kilometers per hour, while Train B has rates of 120 kilometers per hour, 106.67 kilometers per hour, and 100 kilometers per hour for different time intervals. Therefore, Train B is going faster.
Step-by-step explanation:
The rate of Train A can be determined by looking at the equation d = 90t, where d is the distance and t is the time. Since the equation represents the distance in kilometers and the time in hours, the rate of Train A can be calculated by dividing the distance by the time. For example, if the time is 2 hours, the distance traveled would be 90(2) = 180 kilometers. Therefore, the rate of Train A would be 180 kilometers / 2 hours = 90 kilometers per hour.
To determine the rate of Train B, we need to refer to the table. From the table, we can see that Train B traveled a distance of 60 kilometers in 0.5 hours, which gives a rate of 60 kilometers / 0.5 hours = 120 kilometers per hour. Similarly, Train B traveled a distance of 80 kilometers in 0.75 hours, which gives a rate of 80 kilometers / 0.75 hours = 106.67 kilometers per hour. Finally, Train B traveled a distance of 100 kilometers in 1 hour, which gives a rate of 100 kilometers / 1 hour = 100 kilometers per hour. Therefore, the rate of Train B is 120 kilometers per hour, 106.67 kilometers per hour, and 100 kilometers per hour for the respective time intervals.
To determine which train is going faster, we need to compare the rates of Train A and Train B. We can see that the rates of Train B are all greater than the rate of Train A, which is 90 kilometers per hour. Therefore, Train B is going faster.