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by Dockia Labs

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by Dockia Labs

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홈계산기Grade-adjusted pace calculator
Free tool

Grade-adjusted pace calculator

Hills lie. GAP tells the truth.

Type your actual pace on a hill and the grade. We calculate your flat-equivalent pace — the speed you’d need on flat ground to match the same effort.

2026년 5월 18일 업데이트
Your hill effort
Units
Actual pace (per km)
The pace you ran on the graded segment.
Min
Sec
Grade %
Positive = uphill, negative = downhill. Up to ±15%.
%
Flat equivalent
4:36
/km · Grade-adjusted pace

At 5:30/km on 5% grade, your flat-equivalent pace was 4:36/km.

Actual pace
5:30/km
Flat equivalent
4:36/km

What is grade-adjusted pace?

Grade-adjusted pace (GAP) is the flat-ground pace that would have demanded the same metabolic effort as your actual hill running pace. Trail runners use it to compare workouts across different terrain. Strava popularized the metric; the underlying physics goes back to research by Minetti et al. on the energetic cost of gradient running.

Grade adjustment table

How the equivalent flat pace changes for a 5:00/km actual pace across common grades. Use as a sanity check.

GradeActual paceFlat equivalent
-10%5:00/km6:12/km
-5%5:00/km5:50/km
-3%5:00/km5:30/km
0%5:00/km5:00/km
+3%5:00/km4:30/km
+5%5:00/km4:11/km
+8%5:00/km3:48/km
+10%5:00/km3:33/km

How accurate is GAP?

GAP is a model. Real energy cost varies with surface (concrete vs trail), wind, altitude, fatigue and individual biomechanics. Treat it as a normalization tool, not a precise measurement. For race-day pacing on hilly courses, train on similar terrain.

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Pace · Time · Distance
Pace calculator

Convert pace, finish time and distance for any race from 5K to ultra. Includes split times and predicted race times.

Riegel formula
Race time predictor

Type a recent race result and we predict your finish time at every standard distance — 5K, 10K, half marathon, marathon and beyond.

MPH/KPH ↔ min/mile
Treadmill pace converter

Turn treadmill speed and incline into min/mile, min/km and outdoor-flat-equivalent pace.

Negative split planner
Marathon pace planner

Pick a target finish time and split strategy. Get first/second-half splits and every-5K targets to print on your wrist.

FAQ

When do I use grade-adjusted pace?▾

Anytime you want to compare workouts across different terrain. A 5:00/km on flat is not the same effort as 5:00/km uphill — GAP tells you the equivalent flat pace so you can judge fitness consistently.

How is GAP calculated?▾

We use a linear approximation of Strava’s GAP curve: GAP ≈ pace × (1 − 0.033 × grade%) for grades up to ±5%, then taper for steeper terrain. The original Minetti polynomial is more accurate but harder to communicate.

Does downhill running really feel easier?▾

Up to about 6% downhill, yes — gravity helps. Beyond that, eccentric muscle damage from braking starts to make it harder. Steep descents in races are often the leg-killer that ends marathons and ultras.

Why does my Strava GAP differ?▾

Strava recalculates grade each second using GPS + barometer, so it averages many small grades. Our calculator uses a single grade you specify. For climbs with rolling terrain, Strava will be smoother.