Race Time Predictor

Enter a recent race result and we'll predict your time at every other distance using the proven Peter Riegel formula.

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Predicted marathon
marathon pace

Your equivalent times

DistancePredicted timePace /km

Predictions assume similar conditions and appropriate training for the longer distance. The further you extrapolate, the more your endurance base matters — a 5K-to-marathon jump is optimistic if you haven't done the long runs.

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The Peter Riegel formula

Published by engineer and marathoner Peter Riegel in 1981, this is the most widely used endurance prediction model in the world. It states:

T₂ = T₁ × (D₂ / D₁)1.06
where T₁ is your known time over distance D₁, and T₂ is your predicted time over distance D₂.

The exponent 1.06 captures the reality that you can't hold your 5K pace for a marathon — speed fades as distance grows. It's remarkably accurate for distances from 5K to the marathon when you have the endurance base to back it up.

How to use your prediction

  • Set a goal pace. Drop your predicted time into the Pace Calculator for a printable split band.
  • Be honest about training. A marathon predicted from a 5K only holds if you've built the long runs. Predicting a half from a 10K is far more reliable.
  • Re-test every few weeks. As fitness improves, your predictions improve with it.
Predicting a marathon around 4 hours? Our Sub-4 Marathon plan has the exact weekly workouts and pace chart to get you there.

FAQ

How accurate is the Riegel race predictor?

Within a few percent for well-trained runners predicting across nearby distances (5K↔10K, 10K↔half). Accuracy drops when you extrapolate a long way — e.g. predicting a marathon from a single 5K — because the marathon depends heavily on endurance the formula can't see.

Which recent race should I enter?

Use your most recent all-out race closest to your target distance. A recent 10K or half is the best predictor of marathon performance; a 5K works but tends to be optimistic for the full.

Why is my predicted marathon slower than 8× my 5K?

Because the exponent is 1.06, not 1.0 — pace naturally slows as distance increases. That's the whole point of the model, and it's why even-pacing the marathon at "5K math" pace leads to hitting the wall.

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