Reference and target

Seconds, m:ss or h:mm:ss (1200 = 20:00). Decimal seconds are allowed; blank or malformed input clears the answer.

For a longer target, a higher exponent means more slowing; for a shorter target, it gives a faster estimate. These settings describe the curve, not athlete types. The slider uses the same value as the numeric field.

Examples change the reference while keeping your selected exponent and target.

10K comparison

41:41.9

10,000 m · m:ss.s.

Illustrative reference: 20:00 for 5,000 m · exponent 1.06.

Pace per mile6:43

Pace per km4:10

Compare with measured races and preparation.

All distance scenarios

All 13 preset distances, including a matching reference. Each row gives finish clock, pace per mile and pace per kilometer. Unavailable cells have no finite positive result.
DistanceFinish clockPace / milePace / km
800mFinish clock2:52.0Pace / mile5:46Pace / km3:35
1500mFinish clock5:34.9Pace / mile5:59Pace / km3:43
MileFinish clock6:00.8Pace / mile6:01Pace / km3:44
1600mFinish clock5:58.6Pace / mile6:01Pace / km3:44
3000mFinish clock11:38.3Pace / mile6:15Pace / km3:53
3200mFinish clock12:27.7Pace / mile6:16Pace / km3:54
2 MileFinish clock12:32.3Pace / mile6:16Pace / km3:54
5KReferenceFinish clock20:00.0Pace / mile6:26Pace / km4:00
6KFinish clock24:15.8Pace / mile6:30Pace / km4:03
8KFinish clock32:54.9Pace / mile6:37Pace / km4:07
10KSelectedFinish clock41:41.9Pace / mile6:43Pace / km4:10
Half MarathonFinish clock1:32:00Pace / mile7:01Pace / km4:22
MarathonFinish clock3:11:49Pace / mile7:19Pace / km4:33

Read the exponent

T₂ = T₁ × (D₂ ÷ D₁)ᵇ. Times use the same unit; both distances use meters. Existing default b = 1.06; the adjustable range remains 1.02–1.12. The original Riegel (1981) article describes record-based power-law fits with group-dependent exponents. The presets here describe modeled slowing as distance increases.

Clock display rounds total time before splitting it: tenths below an hour, whole seconds at an hour or more. Paces round to whole seconds. That presentation does not change the unrounded power-law result.

Selected unrounded calculation shown to 10 significant digits: 2501.917826 s.

The original running fits cover 1.5–42.2 km; the retained 800m row and custom distances outside that range are extrapolations. Preparation, terrain, weather and pacing are not inputs here. Larger distance gaps add uncertainty; this comparison is not a qualifying mark or a prescribed race plan.