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Used as input for Pace and Distance modes; it is the answer in Time mode.
Used as input for Time and Distance modes; it is the answer in Pace mode.

Formula

Formula: Running Pace Calculator
Show calculation steps (1)
  1. Speed

    Speed: Running Pace Calculator

    Distance covered per unit of time (e.g. miles per hour).

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Results

Pace
10:00
per mile
Pace 10:00 per mile
Total time 30:00
Distance 3 mile
Speed 6 mph / 9.66 km/h
Speed (m/s) 2.682 m/s

What is the Running Pace Calculator?

This calculator works out your running pace, total time, distance, and speed for any activity measured by distance and time, including running, walking, cycling and swimming. It is a universal math tool that works in both US units (miles, yards, feet) and metric units (meters, kilometers), plus fixed race distances such as a full marathon (42.195 km) and half marathon (21.0975 km).

How to use it

First pick a calculation mode: Calculate Pace (enter time and distance), Calculate Time (enter distance and pace), or Calculate Distance (enter time and pace). Times are entered as hours, minutes and seconds. Pace is entered as a duration per chosen unit (for example 8 minutes per mile). The calculator always also reports your average speed in mph, km/h and m/s.

The formula explained

Everything is computed in SI units (meters and seconds) for accuracy and then converted to your chosen units. Pace is time divided by distance, while speed is distance divided by time, so they are reciprocals scaled by unit factors:

$$\text{pace} = \dfrac{\text{time}}{\text{distance}}, \quad \text{speed} = \dfrac{\text{distance}}{\text{time}}$$

pace per unit = total seconds × pace-unit-in-meters ÷ distance in meters. To solve for time, rearrange to time = pace × distance ÷ pace-unit. To solve for distance, use distance = time × pace-unit ÷ pace.

Triangle diagram relating pace, time and distance
The pace-time-distance triangle: cover one quantity to see how to compute it from the other two.

Worked example

You run 3 miles in 30 minutes. Total time is 1800 seconds and the distance is \(3 \times 1609.344 = 4828.032 \text{ m}\). Pace per mile = \(1800 \times 1609.344 \div 4828.032 = 600 \text{ seconds}\) = 10:00 per mile. Your speed is \(4828.032 \div 1800 = 2.682 \text{ m/s}\), which is 6.0 mph or 9.66 km/h.

Runner on a track with distance and time markers
Worked example: dividing total time by distance gives the pace per unit.

FAQ

What is the difference between pace and speed? Pace is how long it takes to cover one unit of distance (lower is faster); speed is how much distance you cover per unit of time (higher is faster). They are inverses of each other.

Can I mix units? Yes. You can enter distance in kilometers and ask for pace per mile, for example. The tool converts internally through meters.

How do marathon distances work? Selecting marathon or half marathon as the distance unit uses the official length (42.195 km or 21.0975 km). The distance value acts as a multiplier, so entering 1 means one full race.

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