High School

Scott left the airport and traveled toward the train station. Three hours later, Castel left traveling at 50 mph in an effort to catch up to Scott. After traveling for two hours, Castel finally caught up. What was Scott's average speed?

Answer :

Final answer:

To find Scott's average speed, we need to calculate the distance traveled by both Scott and Castel. Scott's average speed is 27.27 mph.

Explanation:

To find Scott's average speed, we need to first calculate the distance traveled by both Scott and Castel. Let's assume Scott's speed is S mph and the time taken by Castel to catch up to Scott is T hours. From the given information, we can set up the equation: 3S = (T+2) * 50. Solving this equation, we get T = 5. To find Scott's average speed, we can use the formula: Average Speed = Total Distance / Total Time. Scott traveled for a total of 3 + 5 = 8 hours. Using the equation 3S = 8S, we find that Scott's average speed is 27.27 mph.

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