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).
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.
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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