1. **Problem statement:** Given a graph showing speed (km/h) versus time (hours) for a car journey, answer the following questions.
2. **Formula used:** Distance = Speed \times Time
3. **Important rule:** For a fixed distance, speed and time are inversely related, meaning if speed decreases, time increases.
4. **(a) What is the distance of the journey?**
From the graph, at 2 hours, speed = 120 km/h.
Using the formula:
$$\text{Distance} = 120 \times 2 = 240 \text{ km}$$
5. **(b) As the speed decreases, what happens to the journey time?**
Since distance is constant, if speed decreases, time increases.
6. **(c) If the journey takes 2.5 hours, determine the speed from the graph.**
Using the constant distance 240 km:
$$\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{240}{2.5} = 96 \text{ km/h}$$
7. **(d) If speed is 110 km/h, find the travelling time.**
Using the formula:
$$\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{240}{110} \approx 2.18 \text{ hours}$$
**Final answers:**
(a) 240 km
(b) Journey time increases as speed decreases
(c) 96 km/h
(d) Approximately 2.18 hours
Speed Time 378860
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