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Marathon Pace Calculator (Based on 5K)

Marathon Pace Formula:

\[ P_{mar} = P_{5k} \times \left(\frac{D_{mar}}{D_{5k}}\right)^k \]

min/mile
(typically 1.06)

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1. What is the Marathon Pace Calculator?

The Marathon Pace Calculator estimates your marathon pace based on your current 5K pace using a power-law relationship. This helps runners predict their marathon performance from a shorter race time.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ P_{mar} = P_{5k} \times \left(\frac{D_{mar}}{D_{5k}}\right)^k \]

Where:

Explanation: The formula accounts for the non-linear relationship between pace and distance, as running efficiency decreases over longer distances.

3. Importance of Pace Prediction

Details: Accurate pace prediction helps runners set realistic goals, plan training, and develop race strategies for optimal performance.

4. Using the Calculator

Tips: Enter your current 5K pace in minutes and seconds per mile. The exponent k is typically 1.06 but can be adjusted based on your endurance characteristics.

5. Frequently Asked Questions (FAQ)

Q1: How accurate is this prediction?
A: It provides a reasonable estimate for well-trained runners. Actual performance depends on training specificity, course difficulty, and race conditions.

Q2: What if I don't have a recent 5K time?
A: Use your most recent race of similar intensity, or perform a time trial to establish your current fitness level.

Q3: Why does the exponent k vary?
A: The exponent accounts for individual endurance capabilities. More endurance-trained runners may have lower k values (closer to 1.0).

Q4: How should I adjust for hilly courses?
A: Add 2-4% to your predicted pace for hilly marathons, or use course-specific calculators that account for elevation.

Q5: Can I use this for ultra-marathons?
A: No, the relationship becomes less predictable at distances beyond the marathon. Ultra-running requires different predictive models.

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