Enter the distance and your time (hh:mm:ss). You get your pace per km, your speed and split times for common race distances.
Enter a distance greater than 0 and choose its unit on the right. Enter the time as hh:mm:ss (for example, 00:50:25 or 50:25 for 50 minutes 25 seconds).
Result and graph
Enter the distance and your time on the left and press "Calculate". The result and a graph will appear here.
Table of Contents
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What you can do on this page
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What is this calculation used for?
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How to Use
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Formulas and graphs
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Symbols and terms
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Good to know before you start
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How to calculate it in Excel
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How to calculate it in Google Sheets
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How to calculate it in Python
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How to write it in LaTeX and other math languages (copy and paste)
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How to have ChatGPT do the calculation
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DataChef Features
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Related Features
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NumberChef Calculators List
What you can do on this page
- Enter the distance and your time (hh:mm:ss) to see your pace per mile (min/mi) on the spot
- Your speed in mph and in feet per minute and per second is shown at the same time. Switch "Units" to Metric to get pace per km (min/km), km/h, m/min and m/s instead
- You can enter the distance in miles, kilometers, meters or yards
- A table and a graph show your split times for 1 mile, a 5K, a 10K, a half marathon and a marathon if you keep the same pace
- A plain-language explanation of the formulas and copy-and-paste formulas for Excel, Google Sheets and Python are all on this page
This page finds pace and speed from the distance and your time, assuming an even pace. In a real run your speed changes along the way, so the result is your average pace and speed over the whole distance.
What is this calculation used for?
Planning your race pace from a goal time
To finish a marathon (26.2 miles) in 4 hours, the pace you need is 4 hours (14,400 seconds) ÷ 26.2 miles ≈ 549 seconds per mile, or about 9:09 per mile.
From there you can set your splits in advance: about 28:26 at 5K and about 2 hours at the halfway point (13.1 miles). On race day you can compare them with your watch and fix "too fast" or "too slow" early. This is the basis of an even pacing plan that helps you avoid slowing down badly late in the race ("hitting the wall" around mile 20).
Keeping your training at the right effort (sports)
In endurance training, the basic idea is to separate "slow, long run days" from "fast days" by pace. Instead of going by feel alone, setting numbers such as "easy run at 11:00 per mile today" or "intervals at 7:30 per mile" lets you repeat workouts at the effort you are aiming for.
From everyday runners to elite athletes, training logs are built around this record of pace.
Estimating walking and commuting time (everyday life)
Pace is not only for running. If you know your walking pace in minutes per mile, you can estimate travel time from the distance on a map. A typical adult walking pace is about 15 to 20 minutes per mile (3 to 4 mph), so 2 miles takes about 30 to 40 minutes.
It helps with everyday time estimates, such as "How long is the walk to the station?" or "How far can I go on my lunch break?"
Using pace in cycling, swimming and other endurance sports
The idea of pace, time per unit of distance, is widely used in other endurance sports too. Cyclists track minutes per mile or mph, and swimmers track their pace in minutes and seconds per 100 yards or 100 meters.
The same formula works when you change the unit of distance, so you can compare how hard you are working across different sports with one common measure.
Reading km-based courses and results
5K and 10K races, many race results and runners outside the US use kilometers, and pace is often given in minutes per km. Since 1 mile = 1,609.344 m, you can divide a pace in minutes per mile by 1.609 to get minutes per km, or multiply minutes per km by 1.609 to get minutes per mile.
Being able to convert units lets you read results and training plans written in kilometers in the familiar "minutes per mile".
Formulas and graphs
Formula for pace (time per mile)
Graph
Standard notation
(the usual math form)
\(P\)
\(=\)
\(t\)
\(\div\)
\(d\)
In words
(symbols replaced with words)
③
\(P\): pace (time per mile)
\(=\)
①
\(t\): time
\(\div\)
②
\(d\): distance
The formula in words
①
Take the
\(t\): time
②
divide it by the
\(d\): distance
③
and you get the
\(P\): pace (time per mile)
Quick example
If you run 5 miles in 50 minutes 25 seconds (= 3025 seconds), your pace per mile is
\(P\): pace
\(=\)
time (3025 s)
\(\div\)
distance (5 mi)
\(3025 \div 5 = 605\ \mathrm{(s/mi)}\)
\(605\ \mathrm{s} = 10\ \mathrm{min}\ 05\ \mathrm{s}\)
Key idea
Pace is the time it takes to run 1 mile (or 1 km). Speed is "distance per hour", while pace is "time per mile", so the division goes exactly the other way.
A pace in seconds is turned into minutes and seconds by dividing by 60. For 605 seconds, 605 ÷ 60 = 10 remainder 5, so the pace is 10:05 per mile (10 minutes 5 seconds). The smaller the pace (the less time each mile takes), the faster you are.
Formula for speed (distance per hour)
Graph
Standard notation
(the usual math form)
\(v\)
\(=\)
\(d\)
\(\div\)
\(t\)
In words
(symbols replaced with words)
③
\(v\): speed
\(=\)
①
\(d\): distance
\(\div\)
②
\(t\): time
The formula in words
①
Take the
\(d\): distance
②
divide it by the
\(t\): time
③
and you get the
\(v\): speed
Quick example
If you run 5 miles in 50 minutes 25 seconds (= 3025 seconds), your speed in mph is
\(v\): speed
\(=\)
distance (5 mi)
\(\div\)
time (3025 s)
\(5 \div \dfrac{3025}{3600} \approx 5.95\ \mathrm{(mph)}\)
Key idea
Speed is the flip side of pace, with the division going the other way. To get mph, divide the distance in miles by the time in hours. If your time is in seconds or minutes, turn it into hours first (3025 seconds is 3025 ÷ 3600 ≈ 0.84 hours).
For feet per minute or feet per second, put the distance in feet (1 mile = 5,280 ft) and the time in minutes or seconds before dividing. This page shows these conversions together in the result.
Formula for split time
Graph
Standard notation
(the usual math form)
\(t\)
\(=\)
\(P\)
\(\times\)
\(d\)
In words
(symbols replaced with words)
③
\(t\): split time
\(=\)
①
\(P\): pace (time per mile)
\(\times\)
②
\(d\): distance
The formula in words
①
Take the
\(P\): pace (time per mile)
②
multiply it by the
\(d\): distance
③
and you get the
\(t\): split time
Quick example
If you keep a pace of 10:05 per mile (= 605 s/mi) for 10 miles, your split time is
\(t\): split time
\(=\)
pace (605 s/mi)
\(\times\)
distance (10 mi)
\(605 \times 10 = 6050\ \mathrm{s}\)
\(6050\ \mathrm{s} = 1\ \mathrm{h}\ 40\ \mathrm{min}\ 50\ \mathrm{s}\)
Key idea
Once you know your pace, a single multiplication tells you when you will pass any distance. These are your split times, such as at mile 3 or mile 10, and they guide how you spread your effort over a race.
The same formula works backward from a goal time. To run a marathon (26.2 miles) in 4 hours, the pace you need is 4 hours (14,400 seconds) ÷ 26.2 miles ≈ 549 seconds per mile, or about 9:09 per mile.
Formula to go between pace and mph
Figure
Standard notation
(the usual math form)
\(v\)
\(=\)
\(60\)
\(\div\)
\(P\)
In words
(symbols replaced with words)
③
\(v\): speed (mph)
\(=\)
①
constant \(60\) (1 hour is 60 minutes)
\(\div\)
②
\(P\): pace (min/mi)
The formula in words
①
Take the
constant \(60\) (1 hour is 60 minutes)
②
divide it by the
\(P\): pace (min/mi)
③
and you get the
\(v\): speed (mph)
Quick example
If you run at 5 minutes per mile (a pace of 5:00 per mile), your speed in mph is
\(v\): speed (mph)
\(=\)
constant 60
\(\div\)
pace (5 min/mi)
\(60 \div 5 = 12\ \mathrm{(mph)}\)
Key idea
When you know your pace in minutes per mile, just divide 60 (1 hour is 60 minutes) by the pace to get mph. At 5 minutes per mile, you cover 60 ÷ 5 = 12 miles in 1 hour (60 minutes), so your speed is 12 mph. That is an elite pace; for a more everyday example, 10 minutes per mile is 60 ÷ 10 = 6 mph.
Going the other way, from mph to minutes per mile, is also 60 ÷ speed (6 mph → 60 ÷ 6 = 10 minutes per mile). The key point is that the two are related by division in both directions. This is handy on a treadmill, which usually shows mph.
Pace is based on "pace = time ÷ distance". It is division the other way around from speed (speed = distance ÷ time), and a smaller pace means you are faster. Once you know your pace, "pace × distance" gives your split time at any point, which helps you plan a race and work back from a goal time.
Symbols and terms
Symbols
| \(P\) | pee | The symbol for pace, from the first letter of "pace". It is the time it takes to run 1 mile (or 1 km). (Example - if you run a mile in 10 minutes, \(P = 10\) min/mi) |
| \(t\) | tee | The symbol for time, from the first letter of "time". It is the time your run took, or your split time at a point. |
| \(d\) | dee | The symbol for distance, from the first letter of "distance". (Example - for 5 miles, \(d = 5\)) |
| \(v\) | vee | The symbol for speed, from the first letter of "velocity". (Example - at 6 mph, \(v = 6\)) |
| \(\mathrm{min/mi}\) | minutes per mile | A unit of pace - how many minutes each mile takes. The slash (/) stands for "per". It is the most common way to state pace in US running, usually written like 9:30 per mile. Outside the US, minutes per km (min/km) is more common. |
| \(\mathrm{mph}\) | miles per hour | A unit of speed - how many miles are covered in 1 hour. "6 miles per hour" and "6 mph" are the same thing. US treadmills usually show speed in mph. |
Terms
| pace | The time it takes to run 1 mile (or 1 km). Speed is "distance per hour", while pace is "time per unit of distance". In US running it is usually given in minutes per mile, such as "a 9-minute mile". |
| split time (split) | Your total time from the start when you pass a point in a race or a workout, such as mile 3. Together with lap times for each section, it is used to check how you are spreading your effort. |
| average speed | The speed found from "total distance ÷ total time", which evens out the changes in speed along the way. A real run keeps speeding up and slowing down, so the speed you calculate from distance and time is this average. |
| average pace | The pace found from "total time ÷ total distance", which evens out the changes in pace along the way. A real run keeps speeding up and slowing down, so the pace you calculate from distance and time is this average. |
| unit rate | A way of comparing amounts by "how much per 1". Speed (distance per hour) and pace (time per mile) are both unit rates. Unit rates are taught in middle school math in the US (Grade 6). |
| 5K and 10K | Race distances named in kilometers; the K stands for km. A 5K is 5 km (about 3.1 miles) and a 10K is 10 km (about 6.2 miles). 1 mile = 1,609.344 m, so 1 km is about 0.62 miles. |
Good to know before you start
Here is what helps you use the calculation on this page with real understanding, not just by pressing the button.
| Speed and unit rates (Grade 6) |
|
| How division and multiplication are related (Grades 3–4) |
|
| Converting hours, minutes and seconds (Grades 3–4) |
|
| Working with decimals (Grades 5–6) |
|
| Converting units of length (Grades 4–5 and middle school) |
|
How to calculate it in Excel
Copy the whole table below and paste it into cell A1 in Excel. It works as is.
Table to find the pace (min/mi)
| Time (s) | 3025 |
| Distance (mi) | 5 |
| Pace (s/mi) | =B1/B2 |
| Minutes part of the pace | =INT(B3/60) |
| Seconds part of the pace | =MOD(B3,60) |
Table to find the speed (mph)
| Distance (mi) | 5 |
| Time (s) | 3025 |
| Speed (mph) | =B1/(B2/3600) |
Table to find the split time (pace × distance)
| Pace (s/mi) | 605 |
| Distance (mi) | 10 |
| Split time (s) | =B1*B2 |
| Minutes part of the split time | =INT(B3/60) |
| Seconds part of the split time | =MOD(B3,60) |
After pasting, the upper cells are your inputs and the cells starting with "=" are calculated automatically.
"/" is division and "*" is multiplication. "INT" drops the decimal part to give a whole number, and "MOD(B3,60)" gives the remainder when B3 is divided by 60.
In the first table, B3 shows 605 (s/mi), B4 shows 10 and B5 shows 5, so the pace is 10:05 per mile. In the third table, the split time is 100 minutes 50 seconds (1 hour 40 minutes 50 seconds). Just replace the time and distance with your own numbers.
"/" is division and "*" is multiplication. "INT" drops the decimal part to give a whole number, and "MOD(B3,60)" gives the remainder when B3 is divided by 60.
In the first table, B3 shows 605 (s/mi), B4 shows 10 and B5 shows 5, so the pace is 10:05 per mile. In the third table, the split time is 100 minutes 50 seconds (1 hour 40 minutes 50 seconds). Just replace the time and distance with your own numbers.
How to calculate it in Google Sheets
Copy the whole table below and paste it into cell A1 in Google Sheets. It works as is.
Table to find the pace (min/mi)
| Time (s) | 3025 |
| Distance (mi) | 5 |
| Pace (s/mi) | =B1/B2 |
| Minutes part of the pace | =INT(B3/60) |
| Seconds part of the pace | =MOD(B3,60) |
Table to find the speed (mph)
| Distance (mi) | 5 |
| Time (s) | 3025 |
| Speed (mph) | =B1/(B2/3600) |
Table to find the split time (pace × distance)
| Pace (s/mi) | 605 |
| Distance (mi) | 10 |
| Split time (s) | =B1*B2 |
| Minutes part of the split time | =INT(B3/60) |
| Seconds part of the split time | =MOD(B3,60) |
The same formulas as in Excel work as is. Copy the whole table, paste it into cell A1, and replace the numbers in column B with your own. "INT" and "MOD" also work as is in Google Sheets.
How to calculate it in Python
distance_mi = 5 # distance (miles)
time_seconds = 3025 # time (seconds). 50 min 25 s = 50*60+25 = 3025
pace_sec_per_mi = time_seconds / distance_mi # pace (seconds per mile)
pace_min = int(pace_sec_per_mi // 60) # minutes part of the pace
pace_sec = pace_sec_per_mi - pace_min * 60 # seconds part of the pace
speed_mph = distance_mi / (time_seconds / 3600) # speed (mph)
speed_ft_per_min = distance_mi * 5280 / (time_seconds / 60) # feet per minute
speed_ft_per_sec = distance_mi * 5280 / time_seconds # feet per second
print(f"Pace: {pace_min} min {pace_sec:.2f} s per mile")
print(f"Speed: {speed_mph:.2f} mph / {speed_ft_per_min:.2f} ft/min / {speed_ft_per_sec:.2f} ft/s")
Runs with the standard library only. "//" gives the whole-number part of a division (the quotient), and "%" gives the remainder. Change the distance and the time (in seconds) at the top to your own numbers and run it.
How to write it in LaTeX and other math languages (copy and paste)
Formula for pace (time per mile)
P = t ÷ d
P = \dfrac{t}{d}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mi>P</mi>
<mo>=</mo>
<mfrac><mi>t</mi><mi>d</mi></mfrac>
</mrow>
</math>
P = t / d
t / d
P := t / d;
P = t / d;
P = t / d
Formula for speed (distance per hour)
v = d ÷ t
v = \dfrac{d}{t}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mi>v</mi>
<mo>=</mo>
<mfrac><mi>d</mi><mi>t</mi></mfrac>
</mrow>
</math>
v = d / t
d / t
v := d / t;
v = d / t;
v = d / t
Formula for split time
t = P × d
t = P d
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mi>t</mi>
<mo>=</mo>
<mi>P</mi>
<mo>⁢</mo>
<mi>d</mi>
</mrow>
</math>
t = P * d
P * d
t := P * d;
t = P * d;
t = P d
Formula to go between pace and mph
v = 60 ÷ P
v = \dfrac{60}{P}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
<mrow>
<mi>v</mi>
<mo>=</mo>
<mfrac><mn>60</mn><mi>P</mi></mfrac>
</mrow>
</math>
v = 60 / P
60 / P
v := 60 / P;
v = 60 / P;
v = 60 / P
How to have ChatGPT do the calculation
You are a running pace calculation assistant. Do the following calculation by actually running Python code, and base your answer only on the numbers from the execution result (do not answer by mental math or guessing). I ran 5 miles in 50 minutes 25 seconds. Find each of the following: 1. My pace per mile (in the form "X min Y s per mile") 2. My speed in mph 3. My split times for a half marathon (13.1094 miles) and a marathon (26.2188 miles) if I keep the same pace (in the form "X h Y min Z s") Show the formulas you used and the numbers from the execution result.
How to Use
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1Enter your numbersType the numbers you want to calculate with into the input fields
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2CalculatePress the "Calculate" button
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3Check the resultThe result appears on the spot. The same page also explains the idea behind the calculation and the formula
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Related Features
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