2 The fuel consumption rate of a car is 8 litres per 100 km . 2.1 How far can the car travel on a full tank of 40 litres of petrol? 2.2 If the cost of petrol is R10,05 per litre, calculate how far the car will be able to travel if \( \mathrm{R} 150,00 \) worth of petrol is filled in the car. 2.3 How much fuel will the car use if driven from Port Elizabeth to Durban (a distance of 927 km ) and how many times will the driver need to stop during the trip to fill up with petrol?

Let's address each part of the problem step by step. --- ### **Given:** - **Fuel Consumption Rate:** 8 litres per 100 km - **Full Tank Capacity:** 40 litres - **Cost of Petrol:** R10.05 per litre - **Distance from Port Elizabeth to Durban:** 927 km --- ### **2.1 How far can the car travel on a full tank of 40 litres of petrol?** **Calculation:** 1. **Determine the distance per litre:** \[ \text{Distance per litre} = \frac{100 \text{ km}}{8 \text{ litres}} = 12.5 \text{ km/litre} \] 2. **Calculate the total distance for 40 litres:** \[ \text{Total Distance} = 12.5 \text{ km/litre} \times 40 \text{ litres} = 500 \text{ km} \] **Answer:** The car can travel **500 kilometers** on a full tank of 40 litres of petrol. --- ### **2.2 If the cost of petrol is R10.05 per litre, calculate how far the car will be able to travel if R150,00 worth of petrol is filled in the car.** **Calculation:** 1. **Determine the amount of petrol that can be purchased with R150.00:** \[ \text{Litres Purchased} = \frac{\text{Total Cost}}{\text{Cost per Litre}} = \frac{150.00}{10.05} \approx 14.925 \text{ litres} \] For practical purposes, we'll consider **14.925 litres**. 2. **Calculate the distance achievable with 14.925 litres:** \[ \text{Distance} = 12.5 \text{ km/litre} \times 14.925 \text{ litres} \approx 186.56 \text{ km} \] **Answer:** With R150.00 worth of petrol, the car can travel approximately **186.56 kilometers**. --- ### **2.3 How much fuel will the car use if driven from Port Elizabeth to Durban (a distance of 927 km) and how many times will the driver need to stop during the trip to fill up with petrol?** **Calculation:** 1. **Calculate the total fuel needed for 927 km:** \[ \text{Fuel Needed} = \frac{8 \text{ litres}}{100 \text{ km}} \times 927 \text{ km} = 74.16 \text{ litres} \] 2. **Determine the number of full tank refills required:** - **Initial Full Tank:** 40 litres - **Remaining Fuel Needed:** \(74.16 \text{ litres} - 40 \text{ litres} = 34.16 \text{ litres}\) - **Number of Additional Stops:** Since each full tank is 40 litres and only 34.16 litres are needed, **1 additional stop** is sufficient. *(Alternatively, considering practical driving, it's common to refill before the tank is completely empty to avoid running out of fuel.)* **Answer:** - **Fuel Used:** The car will use approximately **74.16 litres** for the 927 km trip. - **Number of Stops for Refuelling:** The driver will need to **stop once** to fill up with petrol during the trip. --- ### **Summary** 1. **2.1:** 500 km on a full 40-litre tank. 2. **2.2:** Approximately 186.56 km with R150.00 worth of petrol. 3. **2.3:** - **Fuel Used:** ~74.16 litres for 927 km. - **Refuelling Stops:** 1 stop needed during the trip. --- If you need further clarification or assistance, feel free to ask!