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Andrea is planning on taking the train to go to the beach. A train travels at a constant speed. An equation relating the distance traveled in miles, m, to the number of minutes, t is t = 3m. If Andrea arrived at the beach in an hour and 15 minutes, how much distance did she travel?

a) 15 miles
b) 30 miles
c) 45 miles
d) 60 miles

User Mattshane
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1 Answer

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Final answer:

Using the given equation t = 3m and substituting Andrea's travel time of 75 minutes, we calculate that she traveled 25 miles to the beach. The answer should be validated to be reasonable, which in this situation, it is given the context of the equation.

Step-by-step explanation:

The student's question relates to finding the distance Andrea traveled to the beach, given the relationship between the distance traveled in miles, m, and the number of minutes, t, with the equation t = 3m. Andrea's travel time to the beach was one hour and 15 minutes, which is equivalent to 75 minutes.

To find the distance traveled, we substitute the given time into the equation and solve for m:

  • t = 3m
  • 75 = 3m
  • m = 75 / 3
  • m = 25 miles

Therefore, Andrea traveled 25 miles to the beach, which is not one of the provided options. However, considering the context provided, it seems there might be a discrepancy in the provided options. The answer should be reasonable and checked against the information provided; in this case, since Andrea's travel time matches with the distance traveled as per the equation t = 3m, the calculated distance should be accurate.

User Siega
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