# Functional Skills: Speed

## Functional Skills: Speed Revision

**Speed**

**Speed** is a measurement of the time it takes to travel a certain distance.

The standard units for speed are miles per hour (mph), kilometres per hour (km/h) or metres per second (m/s).

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**Speed, Distance and Time**

Speed, distance and time are related by the following equations:

**Speed **= **Distance **\div **Time**

**Distance **= **Speed **\times **Time**

**Time **= **Distance **\div **Speed**

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**Example 1: Calculating Speed**

A car travels 30 km in 48 minutes. Calculate the average speed of the journey in km/h.

**[2 marks]**

First convert 48 minutes into hours: 48 minutes =\dfrac{48}{60} hours =0.8 hours

Then calculate the average speed: \text{Speed} = \dfrac{\text{Distance}}{\text{Time}}=\dfrac{30}{0.8}=37.5 km/h

**Example 2: Calculating Distance**

A cyclist travels at an average speed of 14 mph for 25 minutes. Calculate how far the cyclist travelled, give your answer to 2 decimal places.

**[2 marks]**

Using the speed, distance and time triangle we can see that:Â distance = speed \times time.

So the distance travelled by the cyclist =14\times \dfrac{25}{60}=5.83 miles

**Note:** You often need to convert minutes into hours.

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**Example 3: Calculating Time**

A plane is going from Manchester to Madrid, which is a 1292 mile journey.

The plane travels at an average speed of 516.8 mph, calculate the time taken for this flight, giving your answer in hours and minutes.

**[2 marks]**

Using the speed, distance and time triangle we can see that:Â \text{time} = \dfrac{\text{distance}}{\text{speed}}

So the time taken for the journey =\dfrac{1292}{516.8}=2.5 hours =2 hours and 30 minutes

## Functional Skills: Speed Example Questions

**Question 1:Â **Jessica drives 36 miles in 50 mins. Calculate her average speed in mph.

**[2 marks]**

Speed = Distance \div Time

Speed = \dfrac{36}{\frac{50}{60}}=43.2 mph

**Question 2:Â **Stevie runs at an average pace of 14 km/h for 45 minutes. Calculate how far she runs.

**[2 marks]**

Distance = Speed \times Time

Distance ran = 14 \times \dfrac{45}{60}=10.5 km

**Question 3: **Amelia cycles 21 km at an average speed of 30 km/h. Calculate how long the bike ride is in minutes.

**[2 marks]**

Time = Distance \div Speed

Time = \dfrac{21}{30}=0.7 hours = 0.7\times60=42 minutes

## Functional Skills: Speed Worksheet and Example Questions

### Speed L2

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