health · 2026-05-01

Running pace + race time calculator

Convert pace to time and distance — predicts marathon time from a 5K PR and shows training pace targets.

Predicted race time (min)
215.8

Inputs

5K time (minutes)22
5K seconds (extra)30
Target distance (km)42.195

Supporting metrics

Current 5K pace (min/mile)7.24
Current 5K pace (min/km)4.50
Easy pace (min/mile)9.41
Tempo pace (min/mile)7.97
VO2 interval pace (min/mile)6.95

About this calculator

Pace math — Riegel's formula and Daniels' training zones

Two pieces of running math, packaged together:

1. Race-time prediction (Riegel)

T₂ = T₁ × (D₂/D₁)^1.06

You can't run 26.2 miles at 5K pace — fatigue makes you slower as distance grows. Pete Riegel's 1981 formula models this with the 1.06 exponent (the 'fatigue factor'). It's accurate within 2-3% for distances 1.5× to 4× of the reference race.

A 22:30 5K → ~3:30 marathon predicted. Caveat: only accurate if you've trained for the longer distance. A 22:30 5K runner who hasn't built endurance will run 4:00+ marathon despite the prediction.

2. Training paces (Daniels)

Jack Daniels' VDOT system maps current race performance to training paces:

The percentages are off the 5K pace because 5K is a near-VO2max effort (~95-98% of VO2 max for trained runners). Calibrating off marathon pace is less reliable because marathon performance is endurance-limited, not VO2-limited.

How to use this

Run easy days slow enough. Most amateur runners run easy days at tempo pace and tempo days at easy pace — the dreaded "gray zone." The prescribed easy pace from this calculator should feel almost too slow. That's the point.

FAQ

Can a 5K really predict marathon time?

It predicts your aerobic ceiling. Whether you can hit it on race day depends on training. A 5K-fit runner who hasn't done long runs will fade after mile 16. Use Riegel as 'best case' and adjust down 5-10% if you haven't built distance.

Why are easy paces so much slower?

Because aerobic base development happens at 65-75% max HR, not 80-85%. Running easy too fast means you're always slightly fatigued for hard days, so your hard days are also slightly off. Slow the easy down and the tempo gets faster — paradoxical but proven.

What if I don't have a recent 5K time?

Run a 5K time trial on a track or flat course. Alternative: use a recent race at any distance and back-calculate via Riegel. Avoid using a long run pace — it's not race-equivalent and underestimates ability.

Does altitude / heat affect these paces?

Yes, significantly. Add 5-10 sec/mile per 1,000 ft above 4,000 ft elevation, and 10-30 sec/mile in 75°F+ humid conditions. Race-time predictions are for sea-level, cool-day conditions.