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Runner Profile (VDOT · Calories · BQ)
Finish Time
Enter values above
per km WR 8:00
Elite (2:02)AdvancedRecreationalWalking
Pace/km
Pace/mile
Speed km/h
Speed mph
Finish Time
VDOT
Calories
Neg Split Pace
pace = time ÷ distance VDOT = f(velocity, time) cal = MET × kg × hrs

Pacing Strategy

0m (flat)

Pacing Strategy Visualization

Even split (teal) · Negative split (gold dashed) · Positive split (red dashed)

Calculate a pace or time in the Calculator tab to see your strategy chart.

Split Table

PointPace/kmCum. TimeSplit Time% DoneZone
Calculate a pace or time first

Pace Band

Key checkpoint times for race day. Print and wear on your wrist.

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Race Time Predictor

Predict your times at other distances using Riegel's formula (T₂ = T₁ × (D₂/D₁)^1.06) or Cameron's formula.

RacekmPredicted TimePace/kmPace/miRiegel vs Cameron
Enter a distance and time above

VDOT Training Paces —

Jack Daniels' training zones derived from your aerobic capacity. All paces calculated from your predicted marathon pace.

ZonePurposePace/kmPace/miMax HR%
Enter a time above to see training zones

World Majors Qualifying Status

Based on your predicted marathon time, age, and gender from the Runner Profile.

Enter a known time above to see your qualifying status.

Finishing Percentile

How your predicted marathon time compares to all finishers (based on large-race finish time distributions).

Top 1%Median (4:30)All finishers

Enter a time above to see your percentile.

Progress Tracker

Compare two marathon times (same distance) to measure improvement.

How to Use This Calculator

01

Choose Solve Mode

Find Pace from a goal time, Find Time from a target pace, or Find Distance from pace and time. Results update instantly.

02

Add Runner Profile

Enter weight for calorie estimates, age and gender for Boston qualifier status. Opens VDOT score and training zone recommendations.

03

Explore Pace Strategy

Switch to the Pace Strategy tab to visualize even vs. negative vs. positive split strategies with an interactive split table and printable pace band.

Formula & Methodology

Pace

pace = time ÷ distance

Marathon = 42.195 km or 26.2188 mi. Pace and finish time are inversely proportional.

VDOT (Jack Daniels)

VDOT = VO2 ÷ %VO2max(t)

Derived from velocity and time. Enables precise training zone calculation from a single race result.

Riegel Predictor

T₂ = T₁ × (D₂/D₁)^1.06

Pete Riegel's 1977 formula. Most accurate for distances within 3–4× of the reference distance.

Calories

cal = MET × kg × 3.5/200 × min

MET (Metabolic Equivalent Task) interpolated by running speed. Gross calorie expenditure.

Key Terms

VDOT
Jack Daniels' effective VO2max derived from race performance. A VDOT of 40 = recreational, 50 = competitive, 60+ = elite amateur.
Negative Split
Running the second half of a race faster than the first. Statistically associated with personal bests and reduced bonk risk.
Threshold Pace
The fastest pace you can sustain for ~60 minutes — 7–12% faster than marathon pace. Improving this is the key to marathon PRs.
Glycogen Depletion
Muscles store ~90 min of carbohydrate at marathon effort. Depletion causes "the wall." Pacing and fueling strategy prevent it.
Boston Qualifier (BQ)
Published marathon finish time that makes you eligible to enter the Boston Marathon. The actual cutoff is typically 5–6 min faster due to demand.
Cameron Formula
A refinement of Riegel's predictor using different exponents for shorter vs. longer target distances. Generally more accurate across wider distance gaps.

Real-World Examples

Example 1

3:30 Goal — What VDOT?

Inputs: 3:30:00 marathon (42.195 km). Pace: 4:58/km. VDOT ≈ 48. Easy zone: 6:26–7:42/km. Threshold: 4:22–4:37/km. BQ for M35: 3:05 — 25 min away.

Example 2

Negative Split Strategy

Goal: 4:00:00. Even pace: 5:41/km. With 3% negative split: first half at 5:51/km (1:01:17 for 10K), second half at 5:31/km. Total still 4:00:00 but far less bonk risk after km 30.

Example 3

Predict from 10K Time

Known: 10K in 45:00. Riegel predicts marathon in 3:18:xx. Cameron: 3:22:xx. Training threshold: ~4:15/km. That 10K runner would BQ at male 40–44 (3:10:00).

The Science of Marathon Pacing

Pacing is the single most controllable variable in marathon performance. Studies of elite performances show world records are run with even or slight negative splits — finishing within 1–2% of the first half time or marginally faster. The physiology is well-understood: going out too fast depletes glycogen stores faster, raises lactate, and impairs fat oxidation capacity — all contributing to the "wall" at km 30–35.

Why Negative Splits Work Physiologically

Running slightly conservatively in the first half preserves muscle glycogen and keeps you below lactate threshold. Your aerobic system remains the primary energy source. In the second half, as carbohydrate stores deplete, you can accelerate into a now-warmed-up lactate system. Psychologically, passing other runners in the final 10 km provides significant motivation while being passed is demoralizing.

VDOT Training Zones — The Key to Structured Training

Jack Daniels' VDOT framework derives all training paces from a single race result. Easy runs (E pace) should be 29–55% slower than marathon pace — most runners run their easy runs too fast, accumulating fatigue without the training stimulus. Threshold runs (T pace) at 7–12% faster than marathon pace improve lactate clearance — the physiological ceiling for marathon performance. Interval runs (I pace, ~VO2max) are hard but short, improving aerobic power.

Fueling and Hydration Strategy

Glycogen lasts approximately 90 minutes at marathon effort. For a 3:30 runner, this means stores are depleted by km 18–20 without fueling. Start taking gels at km 8–10 (not km 30 when it is too late), and consume one every 45–60 minutes. Drink at every aid station regardless of thirst — dehydration impairs performance before the sensation of thirst appears. Plan 400–600 mL per hour based on conditions.

More Questions Answered

Age group performance varies widely. Sub-3:00 places you in the top 5% at most ages. Sub-3:30 is top 15%. The average marathon finish time across all ages and genders is approximately 4:30. Use the Race Predictor tab to see your percentile ranking.
Every 100m of net elevation gain adds approximately 20 seconds per km to your effort-equivalent pace. A course with 500m of net gain effectively adds ~100 seconds per km, turning a flat 4:00/km effort into 5:40/km effort. Use the elevation slider in the Pace Strategy tab to adjust your splits.
Riegel (1977) is most accurate when the known and target distances are within 3–4× of each other. A 10K → marathon prediction is reliable. A 1-mile → 50K prediction is not. The Cameron formula adjusts the exponent for different distance ratios and is generally more accurate for larger gaps.
You must run a qualifying marathon in an USATF-certified race within the qualifying window. Published standards range from 3:00 (men 18–34) to 5:20 (men 80+). However, due to high demand, the actual cutoff is typically 5–6 minutes faster than the published standard. See the Race Predictor tab for your age group's standard.
Long runs should be at Easy (E) pace — 29–55% slower than your marathon pace. For a 3:30 marathoner running 4:58/km goal pace, easy runs are 6:26–7:42/km. Running long runs too fast is the most common training mistake. The VDOT training zones in the Race Predictor tab show your exact Easy pace range.
Multiply min/km by 1.60934 to get min/mile. Divide min/mile by 1.60934 to get min/km. Quick reference: 4:00/km = 6:26/mi, 5:00/km = 8:03/mi, 6:00/km = 9:39/mi. Toggle between km and mi units using the toggle on the Calculator tab.

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