11.5 Real-life and distance-time graphs — Practise
Work independently in order. The later questions mix this section with earlier methods. Questions marked H are Higher only.
- A cyclist travels 18 km in 1.5 hours. Find the constant speed.
- A car travels at 60 km/h for 2.5 hours. Find its distance.
- A distance-time graph rises from 0 km to 8 km in 40 minutes. Find speed in km/h.
- What does a horizontal section on a distance-time graph show?
- A walker is 6 km from home, then the graph slopes down to 2 km from home. Describe the journey.
- A tap fills 9 litres in 3 minutes at a constant rate. How much in 8 minutes?
- Which is faster: 30 km in 2 hours or 20 km in 1.25 hours?
- A graph shows cost £5 at 0 items and £2 added per item. State the fixed cost and cost for 4 items.
- A distance-time line has gradient 3 km per hour. How far in 5 hours at the same rate?
- H A journey covers 12 km in 30 minutes and then 18 km in 45 minutes. Compare the two speeds.
Answers and concise solutions
1. Question 1
Answer: 12 km/h
2. Question 2
Answer: 150 km
3. Question 3
Answer: 12 km/h
4. Question 4
Answer: The distance stays constant; stationary
5. Question 5
Answer: Walking towards home
6. Question 6
Answer: 24 litres
7. Question 7
Answer: 20 km in 1.25 hours: 16 km/h vs 15 km/h
8. Question 8
Answer: £5; £13
9. Question 9
Answer: 15 km
10. Question 10
Answer: Both 24 km/h