Running Pace Calculator
Pace per mile and km, speed, and Riegel race predictions for 5K through marathon — from any distance and finish time.
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Enter time as 27:30 or 4:05:30
How It's Calculated
Pace is the simplest relationship in running math: pace (min/km) = time ÷ distance, and speed inverts it — speed (km/h) = distance ÷ time × 60. A 27:30 5K works out to 5:30/km, or roughly 10.9 km/h, and this tool converts freely between minutes-per-km, minutes-per-mile and km/h or mph so you never have to do the division by hand mid-run.
The more useful feature is the Riegel race-time prediction, built on a real exercise-physiology relationship rather than a rule of thumb: T₂ = T₁ × (D₂/D₁)¹·⁰⁶, where T₁ and D₁ are a known time and distance and T₂ is the predicted time for a new distance D₂. The exponent 1.06 is the key detail — if endurance performance scaled perfectly linearly with distance, the exponent would be exactly 1, and doubling the distance would exactly double the time. It does not: fatigue accumulates faster than distance does, so the extra 0.06 captures the mild, well-documented slowdown every runner experiences as races get longer. Take a runner who covers 10 km in 50 minutes: T₂ = 50 × (42.195/10)¹·⁰⁶ ≈ 245 minutes, or about 4 hours 5 minutes for the full marathon — noticeably slower than simply multiplying the 10K pace by 4.2, which is exactly the point of using the formula.
Riegel's formula is a statistical estimate fitted to large samples of real race results, not a guarantee for any individual. It assumes the runner is genuinely trained for the target distance; a fast 5K time built on speed work alone will not carry through 42 km without the underlying mileage and long-run endurance to support it. Race-day pacing follows from the same math: running the first half at or slightly slower than the predicted even pace is the reliable strategy, since "banking" time early by running faster almost always costs far more time to fatigue in the second half.
What You Should Know
- The formula works best between 5K and marathon distance — extrapolating far outside that range (ultramarathons, or very short sprints) introduces more error since fatigue and physiology behave differently.
- Training volume matters more than raw speed — the prediction assumes adequate long-run mileage for the target distance; a speed-only runner will typically finish slower than Riegel predicts for a marathon.
- Even or slightly negative splits perform closest to the prediction — starting faster than goal pace consistently produces worse finishing times than the formula suggests, because late-race fatigue compounds non-linearly.
- Course, weather and terrain shift the actual result — heat, hills and altitude all add time beyond what a flat, cool prediction accounts for.
- Speed and pace are two views of the same number — multiplying pace in min/km by distance always returns total time, so both figures are useful depending on whether you plan by clock or by distance.
Frequently Asked Questions
How accurate is the Riegel prediction?
Within a few percent for runners properly trained across the distance range from 5K to marathon. It tends to read optimistic for the marathon when weekly mileage is low, and pessimistic for pure speed specialists racing short distances.
What pace do I need for a sub-4 marathon?
5:41/km (9:09/mile) — enter 42.195 km and a 4:00:00 target time to see it calculated directly. Even pacing throughout, or a slight negative split in the second half, executes this target most reliably.
Treadmill pace vs road pace — are they equivalent?
Not quite. A 1% incline on the treadmill approximates outdoor effort at most training speeds, because a flat belt removes wind resistance that road running always includes. Flat treadmill running consistently reads a little easier than the same pace outdoors.
Why does the exponent in Riegel's formula equal 1.06 and not 1?
If it were exactly 1, doubling the distance would exactly double the time — pure linear scaling. Real endurance performance is not linear: fatigue accumulates progressively, so the extra 0.06 reflects the measured, consistent slowdown every runner shows as distance increases.
Can I predict a shorter race from a longer one?
Yes — the formula works in both directions. Plugging a marathon time in as T₁ and a shorter target distance as D₂ predicts a faster time, though it tends to run slightly optimistic for runners who are marathon-specialists rather than trained across all distances.
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