Measures and time · Ages 11–12

Distance–time graphs (travel graphs) worksheet

Part of: Speed

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Measures and time · Ages 11–12

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.The graph shows Chi-keung's journey from home to a country park. How far is the park from home, in km?
Answer:
2.The graph shows Ka-yan's journey. How many minutes did Ka-yan rest on the way?
Answer:
3.The graph shows May's journey. How many minutes did May rest on the way?
Answer:
4.The graph shows Ka-yee's journey. From A to B, what was Ka-yee's speed in km/h?
Answer:
5.The graph shows Ka-yan's journey. From A to B, what was Ka-yan's speed in km/h?
Answer:
6.The graph shows May's journey. For how many minutes in all was May actually moving?
Answer:
7.The graph shows Tsz-hin's journey. For how many minutes in all was Tsz-hin actually moving?
Answer:

8.The graph shows May's journey. Which part was fastest?
- A. All the same
- B. C to D
- C. A to B
- D. B to C
Choose the right answer
Answer:
9.The graph shows Tsz-hin's journey. Which part was fastest?
- A. B to C
- B. A to B
- C. All the same
- D. C to D
Choose the right answer
Answer:
10.The graph shows May's journey. From C to D, May's speed was 15 km/h.
True or false?
Answer:
11.The graph shows Ka-yan's journey. From C to D, Ka-yan's speed was 6 km/h.
True or false?
Answer:
12.The graph shows Ka-lok's journey. From C to D, Ka-lok's speed was 9 km/h.
True or false?
Answer:

13.Ka-yee goes from home to a country park, as the graph shows (the rest included). What was the average speed for the whole journey, in km/h?
Working:
Answer:
14.Ka-lok sets off from home, as the graph shows. 10 minutes after setting off, how far from home was Ka-lok, in km?
Working:
Answer:
15.May cycles to a country park and stops for a rest on the way, as the graph shows. After the rest, what was May's speed in km/h?
Working:
Answer:
16.Ka-yee sets off from home, as the graph shows. 10 minutes after setting off, how far from home was Ka-yee, in km?
Working:
Answer:
17.Tsz-hin goes from home to a country park, as the graph shows (the rest included). What was the average speed for the whole journey, in km/h?
Working:
Answer:
18.Tsz-ching cycles to a country park and stops for a rest on the way, as the graph shows. After the rest, what was Tsz-ching's speed in km/h?
Working:
Answer:

Show the answers and working

Distance–time graphs (travel graphs) worksheet: Answers and working

1. 8 km
The end is D. Read where D sits on the distance axis.
The end, D, reads 8 on the distance axis: 8 km from home.
2. 10 minutes
The flat part of the graph is the rest. See at which minute it starts and at which it ends.
The flat part B to C is the rest: from minute 40 to 50, 10 minutes.
3. 10 minutes
The flat part of the graph is the rest. See at which minute it starts and at which it ends.
The flat part B to C is the rest: from minute 40 to 50, 10 minutes.
4. 15 km/h
A to B took 20 minutes for 5 km. How many times 20 minutes is an hour?
5 km in 20 minutes; an hour is 60 ÷ 20 times as long: 15 km/h.
5. 6 km/h
A to B took 20 minutes for 2 km. How many times 20 minutes is an hour?
2 km in 20 minutes; an hour is 60 ÷ 20 times as long: 6 km/h.
6. 40 minutes
The whole journey is 60 minutes, but the flat part is a rest and isn't moving time.
The whole 60 minutes less the flat 20-minute rest: 20 + 20 = 40.
7. 40 minutes
The whole journey is 70 minutes, but the flat part is a rest and isn't moving time.
The whole 70 minutes less the flat 30-minute rest: 20 + 20 = 40.

8. C. A to B
Steeper means faster, and the flat part is a rest. Compare which is steeper, A to B or C to D.
Steeper is faster: A to B is 12 km/h, C to D is 9 km/h.
9. D. C to D
Steeper means faster, and the flat part is a rest. Compare which is steeper, A to B or C to D.
Steeper is faster: A to B is 6 km/h, C to D is 12 km/h.
10. True
Read how many minutes and km C to D takes, turn that into km/h, and compare with 15.
C to D: 5 km in 20 minutes: 5 ÷ (20 ÷ 60) = 15 km/h.
11. True
Read how many minutes and km C to D takes, turn that into km/h, and compare with 6.
C to D: 2 km in 20 minutes: 2 ÷ (20 ÷ 60) = 6 km/h.
12. True
Read how many minutes and km C to D takes, turn that into km/h, and compare with 9.
C to D: 3 km in 20 minutes: 3 ÷ (20 ÷ 60) = 9 km/h.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 7.5 km/h
Average speed = total distance ÷ total time, the rest included. The total time is 80 minutes.
Total distance 10 km, total time 80 minutes (the rest counts): 10 ÷ (80 ÷ 60) = 7.5.
14. 2 km
Minute 10 is still in A to B, where the speed is steady. What fraction of 20 minutes is 10?
A to B goes at a steady speed; minute 10 is half of 20, so half of 4: 2 km.
15. 6 km/h
After the rest comes C to D. Read its minutes and km, then turn that into km/h.
C to D: 2 km in 20 minutes, 2 ÷ (20 ÷ 60) = 6 km/h.
16. 2 km
Minute 10 is still in A to B, where the speed is steady. What fraction of 20 minutes is 10?
A to B goes at a steady speed; minute 10 is half of 20, so half of 4: 2 km.
17. 6 km/h
Average speed = total distance ÷ total time, the rest included. The total time is 50 minutes.
Total distance 5 km, total time 50 minutes (the rest counts): 5 ÷ (50 ÷ 60) = 6.
18. 6 km/h
After the rest comes C to D. Read its minutes and km, then turn that into km/h.
C to D: 4 km in 40 minutes, 4 ÷ (40 ÷ 60) = 6 km/h.

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