Final answer:
To find the distance Andrea traveled, convert the time to minutes (75 minutes) and use the equation t = 3m to solve for m, which yields 25 miles. However, this isn't among the provided options, indicating a potential typo in the question or answers.
Step-by-step explanation:
The question asks to determine the distance Andrea traveled if a train travels at a constant speed with the equation t = 3m, where t is the time in minutes and m is the distance in miles. Since Andrea arrived at the beach in an hour and 15 minutes, we first need to convert this time into minutes only. An hour has 60 minutes, so 1 hour and 15 minutes is 60 + 15, which equals 75 minutes.
Now we can use the given equation t = 3m to find the distance. Plugging in the time we got:
To solve for m, we divide both sides of the equation by 3:
Therefore, Andrea traveled 25 miles to the beach. However, since this option isn't available in the choices provided, we can conclude that there may be a typo in the question or the answer choices. According to the given equation and time, the correct distance should indeed be 25 miles.