(3.) A car uses 46 litres of petrol to cover a distance of 400 km . Calculate: 3.1 the rate between the distance travelled and fuel consumption 3.2 the distance travelled with 15 litres of petrol how much petrol it uses to hravel 150 km .

Let's solve each part of the problem step by step. --- **Given:** - **Fuel Consumed:** 46 litres - **Distance Travelled:** 400 km --- ### **3.1. Calculate the rate between the distance travelled and fuel consumption** To find the **rate between the distance travelled and fuel consumption**, we can determine the **fuel efficiency** of the car. Fuel efficiency can be expressed in two ways: 1. **Kilometers per litre (km/l)** 2. **Litres per kilometer (l/km)** **a) Kilometers per Litre (km/l):** This indicates how many kilometers the car can travel using one litre of petrol. \[ \text{Fuel Efficiency (km/l)} = \frac{\text{Distance Travelled}}{\text{Fuel Consumed}} = \frac{400\, \text{km}}{46\, \text{litres}} \approx 8.6957\, \text{km/litre} \] **Rounded to two decimal places:** \[ \approx 8.70\, \text{km/litre} \] **b) Litres per Kilometer (l/km):** This indicates how many litres of petrol the car consumes to travel one kilometer. \[ \text{Fuel Consumption (l/km)} = \frac{\text{Fuel Consumed}}{\text{Distance Travelled}} = \frac{46\, \text{litres}}{400\, \text{km}} = 0.115\, \text{litres/km} \] **Summary:** - **Fuel Efficiency:** Approximately **8.70 km/litre** - **Fuel Consumption:** **0.115 litres/km** --- ### **3.2. Calculate the distance travelled with 15 litres of petrol** Using the **fuel efficiency** calculated above, we can determine how far the car can travel with 15 litres of petrol. \[ \text{Distance} = \text{Fuel Efficiency} \times \text{Fuel Available} = 8.6957\, \text{km/litre} \times 15\, \text{litres} \approx 130.434\, \text{km} \] **Rounded to two decimal places:** \[ \approx 130.43\, \text{km} \] --- ### **3.3. Calculate how much petrol is used to travel 150 km** To find out how much petrol is needed to travel 150 km, we can use the **litres per kilometer** value. \[ \text{Fuel Needed} = \text{Fuel Consumption} \times \text{Distance} = 0.115\, \text{litres/km} \times 150\, \text{km} = 17.25\, \text{litres} \] **Summary:** - **Petrol Required for 150 km:** **17.25 litres** --- ### **Final Answers:** 1. **Fuel Efficiency:** Approximately **8.70 km/litre** or **0.115 litres/km**. 2. **Distance with 15 litres:** Approximately **130.43 km**. 3. **Petrol needed for 150 km:** **17.25 litres**.