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Magic Mile Race-Time Predictor — result sheet
Project a target running time from a measured mile using a transparent distance-power model, with target pace, speed, and model cost shown together.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Predicted target time = reference mile time × (target distance ÷ 1 mile)^exponent. The target is converted to kilometres internally; pace and speed are derived from the predicted time.
A short race can act as a reference for a longer projection when effort and conditions are comparable. This page exposes the distance exponent so a visitor can test the model's sensitivity instead of treating one prediction as a guarantee.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Reference mile time — minutes; minimum 0.1; maximum 120
- Target distance — minimum 0.01; maximum 1000
- Target distance unit — 2 choices
- Endurance exponent — minimum 0.8; maximum 1.4
Worked example
| Input | Value |
|---|---|
| Reference mile time | 8 |
| Target distance | 5 |
| Target distance unit | km |
| Endurance exponent | 1.06 |
The model projects roughly 41.99 minutes for 5 km, or about 8:24 min/km; the exact display follows the entered exponent.
Assumptions and limits
- The reference mile is a measured, hard but controlled effort.
- The target distance is positive and is converted using 1 mile = 1.609344 kilometres.
- The exponent is a modelling choice; 1.06 is the default starting point, not a law of physiology.
- The same runner, comparable effort, and broadly comparable conditions are assumed.
- Terrain, weather, pacing skill, fatigue resistance, and event execution can make the projection wrong.
- The linear comparison is a descriptive constant-speed baseline, not a second race model.
- The result is an estimate for planning and should be checked against later performances.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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