Running Calculators With the Maths Shown
Free running calculators with the maths shown: pace, splits, race-time prediction, Daniels VDOT training paces, heart-rate zones, and treadmill 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
Solve for pace, finish time or distance from the other two, in min/mile or min/km, with equivalent speeds and finish times for 5K to marathon.
Running pace & splitsPick 5K, 10K, half, marathon, a mile or a custom distance, solve for pace, speed or finish time, and get a per-mile or per-km split table for race day.
min/mile ↔ min/km ↔ mphConvert running pace between minutes per mile, minutes per kilometre, mph and km/h, with a full chart and what each pace means over 5K to marathon.
Marathon & half paceTurn a marathon or half goal time into the pace you need per mile and per kilometre, with 5K checkpoints, mile splits, and an even or negative-split plan.
Split calculatorA split table for any race distance and goal time: cumulative time at every km or mile, with an optional negative split so the second half runs faster.
Training & racing
Predict your 5K, 10K, half and marathon times from one recent race, using the Riegel formula and Daniels VDOT side by side so you see where they disagree.
VDOT & training pacesYour Jack Daniels VDOT from a race result, with easy, marathon, threshold, interval and repetition training paces, and equivalent times at every distance.
Age-graded %Your age-graded performance percentage and open-class time for 5K to marathon, from published USATF/WMA road age-grading standards by age and sex.
Heart rate zonesFive training zones from your age and resting heart rate, Karvonen method, with Tanaka and 220-minus-age max-HR compared and what each zone is for.
Treadmill & calories
Convert treadmill speed in mph or km/h to running pace and back, see what an incline is worth as flat pace, and the elevation gain a session adds up to.
Treadmill caloriesCalories burned on a treadmill from your weight, speed, incline and time, using the ACSM walking and running equations rather than the console's guess.
Running caloriesCalories burned running from your weight and pace or distance and time, using the ACSM equation, shown gross and net of what you'd burn sitting still.
Cycling caloriesCalories burned cycling from your weight, speed and ride time using Compendium of Physical Activities METs, or from average power if you ride with a meter.
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.