\begin{tabular}{l} b) What speed would the truck have to travel at to make the journey in 3 hours? \\ Solusions to Exercise 2 number I are on ppige 254 \\ 2) In a cycling race a cyclist travels a distance of 80 km in 2 hours and 30 minutes. \\ a) What was the cyclist's average speed? \\ b) What speed would the cyclist have to travel at in order to complete the race in 1 hour and 48 minutes? \\ Solutions to Exercise 2 number 2 are on page 254 \\ 3) A car manufacturer claims that its car has an average fuel consumption of \( 7,5 / / 100 \mathrm{~km} \). \\ a) What does \( / / 100 \mathrm{~km} \) stand for? \\ b) What is the maximum distance the car can travel if its petrol tank can hold 54 litres? \\ b) How many litres of petrol would be needed to travel 250 km ? \\ d) A motorist fills the petrol tank and travels a distance of 675 km before the tank is empty. What is the cars \\ actual fuel consumption? Give your answer in \( ~ \) \\ \hline 100 km . \end{tabular}

Sure, I'd be happy to help solve these exercises. Let's go through each problem step by step. --- ## **Problem 2** ### **In a cycling race, a cyclist travels a distance of 80 km in 2 hours and 30 minutes.** #### **a) What was the cyclist's average speed?** **Solution:** 1. **Convert Time to Hours:** - 2 hours and 30 minutes = 2 + (30/60) hours = 2.5 hours 2. **Calculate Average Speed:** - **Average Speed** = Total Distance / Total Time - **Average Speed** = 80 km / 2.5 hours = 32 km/h **Answer:** The cyclist's average speed was **32 km/h**. --- #### **b) What speed would the cyclist have to travel at in order to complete the race in 1 hour and 48 minutes?** **Solution:** 1. **Convert Time to Hours:** - 1 hour and 48 minutes = 1 + (48/60) hours = 1.8 hours 2. **Calculate Required Speed:** - **Required Speed** = Total Distance / Total Time - **Required Speed** = 80 km / 1.8 hours ≈ 44.44 km/h **Answer:** The cyclist would need to travel at approximately **44.44 km/h** to complete the race in 1 hour and 48 minutes. --- ## **Problem 3** ### **A car manufacturer claims that its car has an average fuel consumption of \(7.5 \, \text{L} / 100 \, \text{km}\).** #### **a) What does \( \text{L} / 100 \, \text{km} \) stand for?** **Answer:** The notation \( \text{L} / 100 \, \text{km} \) represents the car's fuel consumption rate, indicating that the car uses **7.5 liters of fuel to travel 100 kilometers**. --- #### **b) What is the maximum distance the car can travel if its petrol tank can hold 54 liters?** **Solution:** 1. **Fuel Consumption Rate:** - 7.5 liters per 100 km 2. **Calculate Maximum Distance:** - Let \( D \) be the maximum distance. - \( \frac{7.5 \, \text{L}}{100 \, \text{km}} = \frac{54 \, \text{L}}{D \, \text{km}} \) - Solving for \( D \): \[ D = \frac{54 \times 100}{7.5} = \frac{5400}{7.5} = 720 \, \text{km} \] **Answer:** The car can travel a maximum of **720 kilometers** on a full tank. --- #### **c) How many liters of petrol would be needed to travel 250 km?** **Solution:** 1. **Fuel Consumption Rate:** - 7.5 liters per 100 km 2. **Calculate Fuel Needed:** - \( \text{Fuel Needed} = \frac{7.5 \, \text{L}}{100 \, \text{km}} \times 250 \, \text{km} = 18.75 \, \text{L} \) **Answer:** **18.75 liters** of petrol are needed to travel 250 kilometers. --- #### **d) A motorist fills the petrol tank and travels a distance of 675 km before the tank is empty. What is the car's actual fuel consumption? Give your answer in \( \text{L} / 100 \, \text{km} \).** **Solution:** 1. **Total Fuel Used:** - Petrol tank capacity = 54 liters 2. **Distance Traveled:** - 675 km 3. **Calculate Actual Fuel Consumption:** - \( \text{Actual Consumption} = \left( \frac{54 \, \text{L}}{675 \, \text{km}} \right) \times 100 = 8 \, \text{L} / 100 \, \text{km} \) **Answer:** The car's actual fuel consumption is **8 liters per 100 kilometers**. --- If you have any more questions or need further clarification on these problems, feel free to ask!