How Pace Ladder calculates pace
Every number on Pace Ladder comes from the formulas and distances on this page, so you can check any result by hand.
Pace is time divided by distance
Pace = time ÷ distance. A 1:20:00 half marathon is 4,800 seconds ÷ 21.0975 km = 227.52 seconds per km, which is 3:48/km, or 6:06/mi.
Speed is the other way round: speed = distance ÷ time. The same race is 21.0975 km ÷ 1.3333 hours = 15.8 km/h, or 9.8 mph.
Pace and speed convert through 60
min/km = 60 ÷ km/h, and min/mi = 60 ÷ mph. 12 km/h is 5:00/km; 6 mph is 10:00/mi.
To turn min/km into min/mi, multiply by 1.609344. 5:00/km is 8:03/mi.
Pace is rounded to the nearest second
Paces are shown rounded to the nearest second, so 227.52 seconds per km is shown as 3:48, not 3:47. Speeds are shown to one decimal place.
Rounding is for display only: every calculation uses the unrounded values. Finish times, splits and elapsed times are also shown to the nearest second, so a column of splits can differ from the finish time by a second.
Equivalent times use the Riegel formula with an exponent of 1.06
T2 = T1 × (D2 ÷ D1)^1.06, where T1 is a time you ran over distance D1 and T2 is the estimate for distance D2.
For example, a 1:20:00 half marathon gives 4,800 × (42.195 ÷ 21.0975)^1.06 = 4,800 × 2.0849 = 10,008 seconds: a 2:46:48 marathon.
It’s an estimate. It assumes you’ve trained for the other distance, and it knows nothing about heat, hills or how your long runs went.
Splits
Even splits give every km or mile the same pace. A negative split of a given percentage makes the second half that much quicker than the first, with the same finish time.
The last split covers whatever distance is left over: 0.195 km in a marathon, 0.0975 km in a half.
What you can type
Times, paces and speeds can be typed the way you’d write them: 3:30, 1:20:00, 1h20, 4.5, 15 km/h or 6:06/mi.
Exact distances
| Distance | Kilometres | Miles |
|---|---|---|
| 1 mile | 1.609344 | 1 |
| 5K | 5 | 3.10686 |
| 10K | 10 | 6.21371 |
| 10 miles | 16.09344 | 10 |
| Half marathon | 21.0975 | 13.10938 |
| Marathon | 42.195 | 26.21876 |
| 50K | 50 | 31.06856 |