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Race equivalence

Predict an equivalent race time at another distance using the Riegel formula.

Built and maintained by The NumberPrism Editorial TeamEditorial policy

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Results update as you type. The formula and assumptions are explained below the calculator.

Estimated equivalent finish time

1:50:20

Known pace5:00 /km
Predicted pace5:14 /km
Time difference+1:00:20
Model exponent1.06

Estimate only. Riegel’s formula assumes comparable training, course and conditions; accuracy drops when the distance jump is very large.

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What does this tool do?

Riegel’s model scales a known race performance by the ratio of distances raised to an exponent near 1.06. It is useful for a ballpark target when moving between 5K, 10K, half marathon and marathon.

The Formula

T₂ = T₁ × (D₂ ÷ D₁)^1.06

Frequently Asked Questions

What is Riegel’s formula?

It predicts T₂ = T₁ × (D₂/D₁)^1.06, where T is time and D is distance. The 1.06 exponent reflects the way fatigue grows over longer races.

How reliable is a marathon prediction from a 5K?

It is rough. Endurance, fuelling and long-run experience matter far more as distance increases, so treat the result as a target rather than a guarantee.