v = d / t | d = v × t | t = d / vSpeed (v) equals distance (d) divided by time (t). The formula rearranges so that any one of the three quantities can be calculated if the other two are known. Distance is in kilometres, time is in hours, and speed is in kilometres per hour in the default configuration. The calculator also converts speed to miles per hour for reference.
Enter any two of speed, distance, and time to instantly calculate the third using the v = d/t formula.
Calculate speed, distance, or time by selecting which value to solve for and entering the other two. Uses the universal v = d/t relationship and shows results in both metric and imperial units. Works for cars, running, cycling, or any constant-speed scenario.
Speed, distance, and time are three quantities linked by a single relationship: speed equals distance divided by time. If you know any two of them, the third is just a calculation away. This calculator lets you pick which quantity you want to find, enter the other two, and get an instant answer with unit conversions included. The formula is taught in every physics and maths class because it applies everywhere from road trips and running pace to aviation and particle physics. It assumes a constant (average) speed over the entire interval. If speed varies, the result is still the correct average speed for that distance and time. Distance and time inputs default to kilometres and hours, which gives speed in km/h. The result also shows the equivalent in miles per hour for quick comparison with speed limits or stats from different countries.
A familiar scenario
Walking through an example
Example: How fast was a car travelling if it covered 240 km in 2.5 hours?
- 1Select "Speed" as the quantity to solve for.
- 2Distance d = 240 km
- 3Time t = 2.5 hours
- 4v = d / t = 240 / 2.5 = 96 km/h
- 5Convert to mph: 96 × 0.621371 = 59.65 mph
When this comes up
Where you would actually use this
- Road trip planning: Enter the distance to your destination and your expected average speed to find out how many hours the drive will take. Account for stops by adding extra time separately.
- Running and cycling pace: Enter the distance of a race and your finishing time to calculate average speed in km/h or mph. Useful for comparing performances across different course lengths.
- Estimating arrival time: If you know how far you are from a destination and the speed limit, solve for time to get a minimum travel duration before adding buffer for traffic or stops.
- Physics homework: The v = d/t formula is one of the first equations in kinematics. Use this calculator to check worked problems or verify that your rearranged formula gives the same answer.
Where it trips people up
Things people get wrong
- Mixing up units: Speed in km/h combined with distance in miles gives a nonsense answer. Always use consistent units. Convert everything to the same system before entering values.
- Entering time in minutes instead of hours: The default time unit is hours. If your travel time is 90 minutes, enter 1.5 hours, not 90. Entering 90 hours gives a speed 60 times too slow.
- Confusing average speed with top speed: This formula gives average speed over an interval. A car that averaged 80 km/h may have reached 120 km/h on the motorway and stopped at traffic lights in between.
- Forgetting that zero speed is undefined for time calculation: Dividing distance by zero speed is mathematically undefined and physically means you never arrive. The calculator catches this and returns an error.
The math
The formula, formally
- 1Select which quantity you want to calculate: speed, distance, or time.
- 2Enter the two known values in the fields shown.
- 3For speed: the calculator divides distance by time and converts the result to mph.
- 4For distance: it multiplies speed by time and converts to miles and metres.
- 5For time: it divides distance by speed and converts to minutes and seconds.
- 6All inputs must be greater than zero; the calculator returns an error otherwise.
Terms to know
Glossary
| Term | Definition |
|---|---|
| Average speed vs. instantaneous speed | Average speed is total distance divided by total time. Instantaneous speed is how fast an object is moving at one specific moment. This calculator always computes average speed. |
| Velocity | Velocity is speed with a direction attached (a vector quantity). When direction does not matter, speed and the magnitude of velocity are the same number. This calculator works for both. |
| Pace | Pace is the inverse of speed: time per unit of distance (e.g., minutes per kilometre). Runners often use pace instead of speed. Divide 60 by speed in km/h to convert to minutes per km. |
| Constant vs. variable speed | The v = d/t formula assumes constant speed. For trips with varying speed, the result is the harmonic-mean-weighted average speed, which is always less than the arithmetic mean of speeds over segments. |
Expert advice
Pro tips
- Use decimal hours, not HH:MM: For a 2-hour 45-minute journey, enter 2.75 hours (2 + 45/60). The calculator does not parse time in HH:MM format for this input.
- Convert km/h to m/s by dividing by 3.6: Physics problems often require speed in metres per second. Divide any km/h result by 3.6. For example, 90 km/h = 25 m/s.
- Check speed limits in the correct unit: The UK and US use mph for speed limits. Most of the rest of the world uses km/h. The calculator always shows both so you can cross-check without mental arithmetic.
- Chain calculations for multi-leg journeys: For a trip with different speeds in each leg, calculate time for each leg separately, then add the times together. The average speed over the whole trip is total distance divided by total time.
Common questions
Frequently asked questions
For related calculations, try the Speed Converter, Force Calculator, or Acceleration Calculator. Browse all Calculator Online calculators for the full catalog.
Methodology
This calculator uses the standard speed calculator formula. Results match those from established financial, scientific, and health references.
Reviewed by
Calculator Online Editorial Team. All formulas verified against authoritative sources before publication.
Last updated
2026-05-24
Sources & References
- Khan Academy, Speed, velocity, and acceleration
Free course covering the kinematics relationship between speed, distance, and time.
- NIST, SI Units of measurement
Official US reference for metric unit definitions including the metre and second.
- NASA, Unit conversion factors
Conversion factors for length, time, speed, and other physical quantities.