About this tool
Running economy is one of the strongest predictors of distance race performance. It measures how much oxygen you use to cover one kilometer at a given pace. Combined with VO2 max and lactate threshold it explains most of the variance in 10K to marathon race times.
How it works
The tool grades the result against elite (under 200 ml/kg/km), good (200 to 220), average (220 to 240), and developing (over 240).
Heart rate zones and training science
Max heart rate (HRmax) is the upper bound your cardiovascular system can sustain for short bursts. The simplest estimate is the Fox formula: HRmax = 220 - age. Better is the Tanaka formula: HRmax = 208 - 0.7 x age, which is more accurate for adults above 40. Both are population averages with ±10 bpm individual variance.
Training zones (% of HRmax)
| Zone | % HRmax | Effort | Use |
|---|---|---|---|
| 1 Recovery | 50-60% | Very easy chat pace | Active recovery between sessions |
| 2 Endurance | 60-70% | Conversational | Aerobic base; 70-80% of weekly volume should be here |
| 3 Tempo | 70-80% | Comfortably hard, short sentences | Lactate threshold work, 30-60 min |
| 4 Threshold | 80-90% | Hard, breathing labored | VO2 max intervals, 3-8 min reps |
| 5 Anaerobic | 90-100% | All out | Sprints, 20-90 seconds |
1RM strength formulas
One-rep max (1RM) is the maximum weight you can lift once. Multiple-rep estimates:
- Epley: 1RM = weight x (1 + reps / 30)
- Brzycki: 1RM = weight x 36 / (37 - reps) - more accurate for 1-10 reps
- Lander: 1RM = weight x 100 / (101.3 - 2.67123 x reps)
Reps above 12 lose accuracy across all formulas. For periodized training, use 5-rep max (5RM) as a working metric and recompute every 6-8 weeks.
Pace, distance, time triangle
Endurance training revolves around three numbers - any two give the third:
- Pace = Time / Distance
- Time = Pace x Distance
- Distance = Time / Pace
Common race times and required paces (km):
| Event | Sub-elite | Recreational | Beginner |
|---|---|---|---|
| 5K | 20:00 (4:00/km) | 30:00 (6:00/km) | 40:00 (8:00/km) |
| 10K | 42:00 (4:12/km) | 60:00 (6:00/km) | 80:00 (8:00/km) |
| Half marathon | 1:35 (4:30/km) | 2:15 (6:24/km) | 3:00 (8:32/km) |
| Marathon | 3:30 (4:58/km) | 4:30 (6:24/km) | 5:30 (7:49/km) |
VO2 max ranges (ml/kg/min)
| Age | Elite men/women | Average men/women | Sedentary men/women |
|---|---|---|---|
| 20s | 75 / 65 | 44 / 38 | <35 / <30 |
| 30s | 70 / 60 | 42 / 36 | <33 / <28 |
| 40s | 65 / 55 | 39 / 33 | <31 / <26 |
| 50s | 60 / 50 | 36 / 31 | <28 / <24 |
| 60s | 55 / 45 | 33 / 28 | <26 / <22 |
The formula explained
This calculator uses the following formula:
VO2 at pace = VO2 max * effort fraction. Speed (km/min) = 1 / pace (min/km). Running Economy (ml/kg/km) = VO2 at pace / Speed (km/min).
The reason this formula works is rooted in the underlying physics, finance, or biology of the problem. Behind every calculator is a published, peer-reviewed equation or a widely accepted convention. We do not invent formulas; we apply standard ones from textbooks, government tables, professional bodies, and academic literature.
If you are curious about the math, the simplest way to verify is to plug in two known numbers and compare against a known result. The calculator should match published examples to within rounding precision.
Frequently asked questions
What is running economy?
Running economy is the oxygen cost of running at a given pace. Lower is better. It is reported as ml of oxygen per kilogram of body weight per kilometer.
What is a good RE value?
Elite male runners often run near 180 to 200 ml/kg/km. Recreational runners typically range from 220 to 260 ml/kg/km.
How can I improve economy?
Improvements come from strength training, plyometrics, technique work, and consistent aerobic mileage over time.
How does it relate to VO2 max?
VO2 max is your aerobic ceiling while running economy is the cost per kilometer. Both contribute to race pace; high VO2 with poor economy still leaves time on the course.
How accurate is the 220-age formula?
Within about ±10 bpm for most adults. For people over 40, the Tanaka formula (208 - 0.7 x age) is closer to actual lab-measured HRmax. The only way to know your true HRmax is a maximal effort test - sprint until exhaustion.
Should I train mostly hard or mostly easy?
Mostly easy. Elite endurance athletes spend 70-80% of training time in zones 1-2. The polarized model (mostly easy + a small dose of very hard) consistently beats the threshold-heavy approach for long-term improvement.
How often should I retest my 1RM?
Every 6-8 weeks at most. True 1RM attempts are stressful and require taper. Most periodized programs use 3-5RM as a working number and recompute 1RM via the Epley or Brzycki formula.
What is heart rate variability (HRV) and why does it matter?
HRV is the variation in time between heartbeats. Higher HRV indicates better recovery. Track it via Whoop, Oura, Garmin, or Polar. Drops of 10%+ from your baseline often signal under-recovery or illness onset.
How do I know if I'm overtraining?
Signs: elevated resting heart rate, drop in HRV, sleep disruption, persistent fatigue, plateau or regression in performance, increased injuries. Reduce volume 30-50% for 1-2 weeks and monitor.
How accurate is the Running Economy Calculator?
It applies the standard formula. Accuracy is limited only by your input precision. For decisions with material consequences (taxes, medical, legal, structural), use the result as a starting point and verify with a qualified professional in the relevant field.
Is the Running Economy Calculator free to use?
Yes. 100% free, no signup, no payment, no API key. The site is funded by display ads around the tool but not inside the calculation flow.
Are my inputs saved anywhere?
No. All inputs stay in your browser tab. Closing the tab discards them. The site uses Google Analytics for traffic measurement (anonymized) but the analytics never see what you type into the form.
Can I use the Running Economy Calculator on my phone?
Yes. The tool is responsive and tested on iOS Safari, Android Chrome, and major desktop browsers. Touch targets meet Apple's 44pt and Google's 48dp minimum.
Does the Running Economy Calculator work offline?
Yes. Once the page has loaded, it works without internet. The calculation runs in JavaScript on your device.
How do I report a bug or suggest improvement to the Running Economy Calculator?
Email hi@3tej.com with the URL of this page and a description of what you saw vs expected. We typically respond within 72 hours.
Can I share results from the Running Economy Calculator?
Take a screenshot or copy the output. The page doesn't generate shareable URLs for specific calculations - inputs stay in your browser only.
Why are the results different from another running economy tool?
Most likely: different formula assumptions, different default values, different rounding rules, or different applicable rates. Check the methodology if both tools document it. Both can be valid for different scenarios.