Cardio
How To Calculate Running Pace
Pace is time divided by distance, and getting the division the right way round is most of the skill.
Quick Answer
pace = total minutes / distance
- t
- Finish time converted to total minutes
- d
- Distance covered, in kilometres
- pace
- Minutes per kilometre
- speed
- Kilometres per hour, the reciprocal view of the same run
Convert the finish time to minutes, then divide by the distance in kilometres. Ten kilometres in fifty minutes gives a pace of 5 minutes per kilometre, which is 12 kilometres per hour. Multiply the pace by 1.609344 to convert it to minutes per mile, which here is 8.04672.
What Is Running Pace?
Pace is the time it takes to cover one kilometre, and it is the reciprocal of speed. Speed answers how far you go in an hour; pace answers how long one kilometre takes. Runners use pace because race distances are fixed and the question that matters during a run is how long each kilometre should take.
The arithmetic is a single division. Convert the total time to minutes, then divide by the distance in kilometres. A fifty minute ten kilometre run is fifty divided by ten, which is five minutes per kilometre. There is no unit conversion inside that step, provided the time is in minutes and the distance in kilometres.
Speed is the same information inverted. Divide the distance by the time in hours instead, and the answer is in kilometres per hour. Twelve kilometres per hour and five minutes per kilometre describe exactly the same run, and converting between them is a matter of taking the reciprocal and scaling by sixty.
Pace per mile is a common second output because many races and many runners still measure in miles. One mile is 1.609344 kilometres, so a pace in minutes per kilometre converts to minutes per mile by multiplying by that same factor. A five minute kilometre is therefore an 8.04672 minute mile, which is a little over eight minutes.
The conversion direction trips people up. A mile is longer than a kilometre, so the time to cover one mile must be larger than the time to cover one kilometre, which means the minutes-per-mile figure is always the larger number. A pace that appears to get faster when switching to miles is a sign the factor was divided instead of multiplied.
The same reciprocal logic explains why a lower pace is better while a higher speed is better. Five minutes per kilometre beats six, but twelve kilometres per hour beats ten. Keeping that in mind prevents the common slip of reporting a slower run as an improvement.
Negative splits, where the second half of a race is faster than the first, are a standard pacing strategy, and planning them needs the arithmetic in reverse. Decide the target pace for each segment, multiply by the segment distance and add the segments to see whether the total finish time is achievable.
Elevation, heat and wind all change the pace that a given effort produces, so a pace calculated from a flat run overstates what is possible on a hilly course. The formula describes what happened, not what should happen, and treating it as a target on unfamiliar terrain is a common source of disappointment.
Treadmill running introduces one more variable, since most treadmills report speed in kilometres per hour rather than pace. Converting to pace makes the numbers comparable with outdoor runs, and it is the figure most training plans are written in.
Pace is also the input to predictions at other distances, though only roughly. Multiplying a half marathon pace by the full marathon distance assumes the pace can be held for twice as long, which it usually cannot. The arithmetic is exact; the physiological assumption behind it is not.
Formula
pace = total minutes / distance
Convert the time to minutes, then divide by the distance in kilometres. The result is minutes per kilometre.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| t | Total time | minutes | Finish time expressed in minutes. |
| d | Distance | kilometres | Distance covered, in kilometres. |
| P | Pace | minutes per kilometre | Minutes to cover one kilometre. |
speed = distance / (total minutes / 60)
The reciprocal view. Dividing distance by time in hours gives kilometres per hour rather than minutes per kilometre.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| d | Distance | kilometres | Distance covered, in kilometres. |
| t | Total time | minutes | Finish time in minutes. |
| v | Speed | kilometres per hour | Average speed over the run. |
pacePerMile = pacePerKm x 1.609344
One mile is 1.609344 kilometres, so a mile takes proportionally longer than a kilometre. The minutes-per-mile figure is always the larger of the two.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| P_km | Pace per kilometre | minutes per kilometre | Minutes per kilometre. |
| P_mi | Pace per mile | minutes per mile | Minutes per mile, always the larger number. |
How To Calculate Running Pace
- 1
Convert the finish time to minutes
Multiply the hours by sixty and add the minutes. A run of one hour and five minutes becomes sixty-five minutes, which is the only time figure the pace formula uses.
- 2
Confirm the distance is in kilometres
The formula pairs minutes with kilometres. If the distance is in miles, either convert it by multiplying by 1.609344 or expect the answer in minutes per mile instead.
- 3
Divide time by distance
Fifty minutes over ten kilometres is five minutes per kilometre. Dividing the other way, distance by time, gives speed rather than pace and will produce a nonsensical small number.
- 4
Convert to speed if you want it
Divide the distance by the time in hours. Ten kilometres in fifty minutes is ten divided by 0.8333 hours, which is twelve kilometres per hour. It is the same run expressed the other way up.
- 5
Convert to minutes per mile for comparison
Multiply the pace by 1.609344. Five minutes per kilometre becomes 8.04672 minutes per mile. The number grows, which is correct because a mile is longer than a kilometre.
Examples
Example 1: Ten kilometres in fifty minutes
- Distance
- 10 kilometres
- Time
- 50 minutes
| Step | Calculation | Result |
|---|---|---|
| Total minutes | 0 x 60 + 50 | 50 |
| Pace per kilometre | 50 / 10 | 5 |
| Speed | 10 / (50 / 60) | 12 |
| Pace per mile | 5 x 1.609344 | 8.04672 |
Result: Ten kilometres in fifty minutes is a pace of 5 minutes per kilometre, which is 12 kilometres per hour or 8.04672 minutes per mile.
Example 2: A marathon in 3 hours 30 minutes
- Distance
- 42.195 kilometres
- Time
- 3 hours 30 minutes
| Step | Calculation | Result |
|---|---|---|
| Total minutes | 3 x 60 + 30 | 210 |
| Speed | 42.195 / (210 / 60) | 12.055714285714286 |
| Pace per kilometre | 210 / 42.195 | 4.9769 |
Result: A marathon in three hours and thirty minutes is a pace of 4.9769 minutes per kilometre, which is about 12.055714285714286 kilometres per hour.
Example 3: Five kilometres in twenty-two minutes
- Distance
- 5 kilometres
- Time
- 22 minutes
| Step | Calculation | Result |
|---|---|---|
| Total minutes | 0 x 60 + 22 | 22 |
| Speed | 5 / (22 / 60) | 13.6364 |
| Pace per kilometre | 22 / 5 | 4.4 |
Result: Five kilometres in twenty-two minutes is a pace of 4.4 minutes per kilometre, which is 13.6364 kilometres per hour.
Calculator
Pace in minutes per kilometre
5
- Pace in minutes per mile
- 8.0467
- Speed in kilometres per hour
- 12
- Speed in miles per hour
- 7.4565
- Total time in minutes
- 50
Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.
Prefer a full-width tool? Open the Running Pace calculator page.
Common Mistakes
Dividing distance by time when pace is wanted
Distance divided by time gives speed, not pace. The two are reciprocals, so mixing them up produces an answer that is not just wrong but wrong in an unfamiliar unit, making it easy to miss.
Leaving the time in hours and minutes
The pace formula needs a single number of minutes. A time of one hour and five minutes has to become sixty-five before dividing, or the answer will be off by a factor that depends on the minutes part.
Dividing by 1.609344 when converting to minutes per mile
A mile is longer than a kilometre, so the minutes-per-mile figure must be larger. Dividing instead of multiplying makes the mile pace look faster than the kilometre pace, which is impossible.
Treating pace and speed as interchangeable in a training plan
Plans are usually written in pace because race distances are fixed, but treadmills display speed. Converting one to the other before comparing keeps the session on target.
Averaging paces instead of total times
The average pace for a run is total time divided by total distance, not the average of the per-kilometre paces. On a run with varied segments the two differ, and the correct one is the total-time version.
Assuming a flat-course pace transfers to hills
The formula describes what happened on the day. Elevation, heat and wind change the pace a given effort produces, so a pace from a flat course is not a reliable target on a hilly one.
FAQ
How do I calculate my running pace?
Convert your finish time to minutes and divide by the distance in kilometres. Ten kilometres in fifty minutes is fifty divided by ten, which is 5 minutes per kilometre. Convert to minutes per mile by multiplying by 1.609344.
What is the difference between pace and speed?
Pace is minutes per kilometre and speed is kilometres per hour. They are reciprocals of each other: 5 minutes per kilometre and 12 kilometres per hour describe the same run. Lower pace is better, while higher speed is better.
How do I convert pace per kilometre to pace per mile?
Multiply by 1.609344, because one mile is that many kilometres. A 5 minute kilometre becomes an 8.04672 minute mile. The minutes-per-mile number is always larger than the minutes-per-kilometre number.
How do I work out a finish time from a target pace?
Multiply the target pace by the distance. A target of 5 minutes per kilometre over 42.195 kilometres gives 210.975 minutes, which is about three hours and thirty-one minutes.
Can I predict my marathon time from a 10K?
Only roughly. Multiplying your 10K pace by the marathon distance assumes you can hold that pace for more than four times as long, which most runners cannot. The arithmetic is exact, but the physiological assumption behind it is optimistic.
Why is my treadmill pace different from my outdoor pace?
Treadmills report speed rather than pace, and the lack of wind resistance and the flat belt change the effort for a given pace. Convert the treadmill speed to pace with the same formula, then expect a small outdoor adjustment.
References
- [1]Wikipedia, Running pace — https://en.wikipedia.org/wiki/Running
- [2]Wikipedia, Mile — https://en.wikipedia.org/wiki/Mile
- [3]Runner's World, Pace calculator — https://www.runnersworld.com/advanced/a20824117/pace-calculator/