10K in 50:00
5K in 23:59, half marathon in 1:50:19, marathon in 3:50:01.
Predictions use Riegel's formula, T2 = T1 × (D2 ÷ D1)^1.06, from one recent race run at full effort. It assumes you train properly for the longer distance; for a marathon most runners are a few minutes slower than predicted unless they run high weekly mileage.
Race you ran
Predicted marathon
3:50:01
From 50:00 for 10K, the formula predicts 1:50:19 for a half marathon and 3:50:01 for a marathon. Your current pace is 5:00 per km.
Predicted times and paces
| Race | Time | Pace per km | Pace per mile |
|---|---|---|---|
| 1 mile | 7:13 | 4:29 | 7:13 |
| 5K | 23:59 | 4:48 | 7:43 |
| 10K | 50:00 | 5:00 | 8:03 |
| Half marathon | 1:50:19 | 5:14 | 8:25 |
| Marathon | 3:50:01 | 5:27 | 8:46 |
In 1977 the engineer Peter Riegel noticed that world records at different distances follow a simple pattern: double the distance and the time goes up by a little more than double. The extra is the 1.06 in his formula, and it works for most runners too.
Take a 10K in 50:00, which is 5:00 per km. The formula predicts a 5K in 23:59, a half marathon in 1:50:19 and a marathon in 3:50:01, at 5:27 per km. That pace is the target to train for, not a promise.
The prediction assumes you are trained for the longer race. A marathon needs months of long runs; without them, most people fade in the last 10 km and finish well behind the estimate. The closer the two distances, the more you can trust it.
Use it to set a first goal, to choose pace groups, or to check progress. Run a new 5K or 10K every month or two and see whether the predicted marathon time moves.
T2 =T1 × (D2 ÷ D1)^1.06Read the full methodologyFound an error? Contact us
Each example is worked out by the same code as the calculator above.
5K in 23:59, half marathon in 1:50:19, marathon in 3:50:01.
A marathon in about 4:10.
The frame shows the tool only.
<iframe src="/embed/race-time-predictor" title="Race time predictor" width="100%" height="720" style="border:0;max-width:42rem" loading="lazy"></iframe>They are good for distances close to the one you ran. Predicting a marathon from a 5K often comes out too fast, because the marathon needs endurance the 5K does not test.
Riegel's formula predicts 3:50:01. Many runners finish a little slower on their first marathon.
Enter a recent 5K or 10K run at full effort. A 50:00 10K predicts a 1:50:19 half marathon.
Roughly, but it was built from running records. Walkers slow down less with distance.
A recent race or time trial at full effort, ideally the longest you have done in the last couple of months.