Math Problem Statement

Madison likes to run races. Recently, it took them 26.66 minutes to run 3.1 miles. You said they ran at a pace of 8.6 minutes per mile. If they continue to run at the same pace, how long will it take them to run 13.1 miles?

Solution

To solve this problem, we need to determine how long it will take Madison to run 13.1 miles if they continue at the same pace of 8.6 minutes per mile.

Given:

  • Pace = 8.6 minutes per mile
  • Distance to run = 13.1 miles

Calculation:

To find the total time required, multiply the pace by the distance:

Total Time=Pace×Distance\text{Total Time} = \text{Pace} \times \text{Distance}

Total Time=8.6×13.1\text{Total Time} = 8.6 \times 13.1

Total Time=112.66 minutes\text{Total Time} = 112.66 \text{ minutes}

Final Answer:

It will take 112.66 minutes (or approximately 1 hour and 52 minutes) for Madison to run 13.1 miles at the same pace.

Would you like a more detailed explanation or breakdown?

Here are five related questions to expand your understanding:

  1. How long would it take to run 5 miles at the same pace?
  2. What would Madison's time be for a 26.2-mile marathon at this pace?
  3. If Madison increased their pace to 8 minutes per mile, how long would it take for 13.1 miles?
  4. What speed (in miles per hour) is Madison running at this pace?
  5. How much time would Madison save if they improved their pace by 0.5 minutes per mile?

Tip:

To convert minutes to hours easily, divide by 60. For example, 112.66 minutes ÷ 60 ≈ 1.88 hours.

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Math Problem Analysis

Mathematical Concepts

Rate
Time
Distance
Multiplication

Formulas

Total Time = Pace × Distance

Theorems

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Suitable Grade Level

Grades 7-9