Key points
We can use formulas to model real-life situations.
For example, the formula for calculating speed is speed = distance ÷ time.
It is possible to calculate the speed, distance or time if you have the other two values.
Video
Discover how to work out the speed of an object
It takes you 25 seconds to skate 150 metres.
What is your speed in metres per second (m/s)?
Speed = Distance / Time = 150m / 25s = ?
150 / 25 = 6 m/s
It takes you 25 seconds to skate 150 metres. What is your speed in metres per second (m/s)? 6 m/s
What is speed?
Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took.
The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Calculating speed

Image caption, Click to see a step by step slideshow.

Image caption, WHAT YOU NEED: A whiteboard, pens, a board rubber and a calculator to check your answers.

Image caption, STEP 1 - Write the formula Speed = Distance/Time on the board.

Image caption, STEP 2 - Divide the distance travelled (150 metres) by the time it took to travel (25 seconds).

Image caption, STEP 3 - Do the calculation 150 divided 25. You can use a calculator if you need to! The answer should be 6.

Image caption, STEP 4 - Now add the units. Meters are divided by seconds, so the answer is 6 m/s (metres per second). Make sure to always put the units at the end of your answer!
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Rearranging the formula
The formula speed = distance ÷ time can be rearranged, just like any other equation.
The formula can be rearranged in three ways:
speed = distance ÷ time
distance = speed × time
time = distance ÷ speed
To calculate one of the variables (speed, distance or time) we need the other two.
For example, to find the time taken to make a journey, we need the length of the journey and the speed of travel.
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