Distance-Time Graphs
The graph shows the journey of a cyclist during part of a race. This stage of the race crosses hills
and mountainous terrain.
F
2500
2250
E
2000
Distance (m)
1750
1500
D
1250
1000
B
C
90
120
750
500
250
0
A
0
30
60
150
180
210
240
270
300
Time (s)
1. How far has the cyclist travelled between points A and B?
2. How far did the cyclist travel throughout their entire journey?
3. Between which two points on the graph did the cyclist stop to change their bike?
and Explain your answer.
4. Between which two points on the graph did the cyclist travel uphill at their slowest speed?
and 5. Calculate the average speed of the cyclist between points A and B.
6. Calculate the average speed of the cyclist between points D and E.
7. Calculate the average speed of the cyclist throughout their entire journey.
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Distance -Time Graphs
8. Read the description of a cyclist’s journey and plot a distance-time graph on the axes below.
A cyclist began a race with a steep, uphill climb of 5km. It took half an hour to reach the top. The
terrain levelled out and the cyclist travelled a further 15km in half an hour before they fell off their
bike. The cyclist had to wait for 30 minutes to be checked by their medical team before continuing
on their journey. The cyclist had no severe injuries and was able to complete the final 40km of the
race in exactly one hour.
60
55
50
45
Distance (km)
40
35
30
25
20
15
10
5
0
0
0.5
1
1.5
2
2.5
Time (hours)
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