ZenFit Tools/performance/Running Pace & Race Time Predictor
4 min readEndurance Science

Running Pace & Race Time Predictor

Convert split paces (min/km & min/mile) and predict 5K, 10K, Half, and Full Marathon times using Pete Riegel’s fatigue equation.

Formula: Riegel Fatigue Model: T2 = T1 × (D2 / D1)^1.06

Input Parameters

Metric

Instant Biometric Computation

Calculated Pace
4:51 /km

Speed: 12.4 km/h · Est. VO2 Max: 37.4 ml/kg/min

Pete Riegel Race Time Predictions

1 Mile7m 0s4:21 /km
5K23m 16s4:39 /km
10K48m 30s4:51 /km
Half Marathon1h 47m 1s5:04 /km
Marathon3h 43m 7s5:17 /km

Export to Fitness Logs & Spreadsheets

Save this calculation for your training log: Apple Notes, Notion, Obsidian, Google Sheets, or Excel.

In-Browser Computation

How This Calculator Works & Mathematical Formula

Pete Riegel Endurance Equation:

T2 = T1 × (D2 / D1)1.06

Where T1 is your baseline race time, D1 is baseline distance, D2 is target distance, and 1.06 is the empirical fatigue exponent across human aerobic events from 1,500m to ultra-marathons.

Standard Physiological Guidelines & Scientific References

Clinical Society Guidelines

  • World Athletics Physiological Evaluation Models
  • Riegel PS. Athletic records and human endurance. American Scientist. 1981;69(3):285-290.
  • Daniels J. Daniels' Running Formula (4th Edition). Human Kinetics, 2021.

Peer-Reviewed Citations

  • Vickers AJ, Vertosick FT. An empirical study of race times in recreational marathon runners. BMC Sports Sci Med Rehabil. 2016;8:26.
  • Noakes TD. Lore of Running (4th Edition). Human Kinetics, 2003.

Formula Limitations, Safety Guidance & Doctor Consultation

Formula Limitations & Population Assumptions

•The Riegel prediction assumes adequate aerobic base training for the target distance. Attempting a marathon based purely on 5K pace without high weekly mileage will result in glycogen depletion ("the wall").

•Environmental factors including heat index, humidity, elevation, and terrain grade alter pacing requirements by 3-15%.

When to Consult a Physician

Always consult a licensed medical professional before implementing significant changes to your caloric intake, fasting routine, hydration targets, or strenuous exercise programming. Seek immediate medical evaluation if you experience unexplained chest discomfort, irregular heartbeats, shortness of breath, dizziness, syncope, or if you have pre-existing cardiovascular, metabolic, renal, or endocrine conditions.

Educational Scope

Not medically reviewed. The results and estimates generated by this calculator are derived strictly from published population formulas and sports science research. They are intended for general athletic education and personal informational purposes only, and must never be construed as clinical diagnosis, medical prescription, or specialized healthcare advice.

Frequently Asked Questions (4 Technical Inquiries)

In 1981, research engineer Pete Riegel analyzed world records from 1,500m to 100 miles. He discovered that human speed decays at a predictable logarithmic power function with an exponent of 1.06 due to neuromuscular fatigue, glycogen depletion, and thermoregulatory load.

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