Pace NumbersAbout

Pace Numbers

Free running calculators with the maths shown: pace, time and distance; marathon and half-marathon pace and splits; race-time prediction; Daniels VDOT training paces; heart-rate zones; treadmill speed, incline and calories.

Most running calculators give you a number and no reason to believe it. Every tool here uses a published formula, shows the arithmetic, and explains what to do with the result -- which mile to bank time in, which pace zone a workout belongs in, what the treadmill's incline is actually worth.

Pace, time and distance covers the everyday conversions and race-day split tables. Training and racing turns one race result into predictions, VDOT training paces and heart-rate zones. Treadmill and calories translates between console speed and real pace and puts a defensible number on what a session burned.

Pace, time & distance

Training & racing

Treadmill & calories

Frequently Asked Questions

Where do the formulas come from?

Each calculator names its source on the page: Riegel's 1981 race-prediction formula, the Daniels-Gilbert VDOT model from Daniels' Running Formula, the Karvonen heart-rate-reserve method with Tanaka's max-HR estimate, and the ACSM metabolic equations for walking and running calories. Nothing here is invented; the working is shown so you can check it.

Which pace unit should I use?

Whichever your watch and your races use. Every tool here shows both minutes per mile and minutes per kilometre, and the treadmill pages add miles per hour and kilometres per hour, because treadmill consoles think in speed while runners think in pace.

Do I need an account, and is anything saved?

No account, nothing saved. Every calculation runs in your browser and nothing you type is sent anywhere.