Arithmetic & Basics
Basic

Speed = Distance ÷ Time

How fast something moves.

Formula

s=dts = \frac{d}{t}

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Variables

sSpeed
dDistance
tTime

Example

150 km in 3 h = 50 km/h

How it works

Speed tells you how much distance is covered in each unit of time. Dividing distance by time works because it spreads the total travel evenly across the time taken, giving a rate such as kilometres per hour or metres per second. If the distance is bigger for the same time, the speed is higher; if the same distance takes longer, the speed is lower.

When to use it

Use this formula whenever you know how far something traveled and how long it took, and you want to find its average speed. It is common in travel questions, motion problems, and science measurements involving moving objects.

Worked example, step by step

A cyclist travels 36 km in 2 h. Speed = distance ÷ time s = 36 ÷ 2 s = 18 So the cyclist's speed is 18 km/h.

Common mistakes to avoid

  • Using the wrong units, such as mixing metres with hours without converting
  • Dividing time by distance instead of distance by time
  • Confusing speed with velocity and forgetting that this formula gives average speed

Did You Know?

This single triangle of relationships underlies everything from your car speedometer to spacecraft navigation.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026