This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to your questions: 2. Step 1: Identify the given values. Distance = 2.4 km Time = 0.16 hours Step 2: Use the formula for average speed. Average Speed = DistanceTime Step 3: Substitute the values into the formula. Average Speed = 2.4 km0.16 hours Step 4: Calculate the average speed. Average Speed = 15 km/h The average speed is 15 km/h 3. Step 1: Identify the given values. Distance = 397.8 km Petrol consumption = 8 L/100 km Petrol cost = R22.17/L Step 2: Calculate the total petrol needed for the journey. Petrol needed = Distance100 km × Consumption per 100 km Petrol needed = 397.8 km100 km × 8 L Petrol needed = 3.978 × 8 L Petrol needed = 31.824 L Step 3: Calculate the total cost of the petrol. Total Cost = Petrol needed × Cost per litre Total Cost = 31.824 L × R22.17/L Total Cost = R705.57648 Step 4: Round the total cost to two decimal places. Total Cost ≈ R705.58 The cost of petrol is R705.58 4. Step 1: Identify the given values. Distance = 580 km Petrol consumption = 7.5 L/100 km Assume petrol cost is R22.17/L (based on the previous question). Step 2: Calculate the total petrol needed for the journey. Petrol needed = Distance100 km × Consumption per 100 km Petrol needed = 580 km100 km × 7.5 L Petrol needed = 5.8 × 7.5 L Petrol needed = 43.5 L Step 3: Calculate the total cost of the petrol. Total Cost = Petrol needed × Cost per litre Total Cost = 43.5 L × R22.17/L Total Cost = R964.995 Step 4: Round the total cost to two decimal places. Total Cost ≈ R965.00 The cost of petrol is R965.00 5. Step 1: Identify the given values. Petrol consumption = 6 L/100 km Available petrol = 30 L Step 2: Determine how many kilometres the car can travel per litre. Distance per litre = 100 km6 L Distance per litre ≈ 16.6667 km/L Step 3: Calculate the total distance the car can travel with the available petrol. Total Distance = Available petrol × Distance per litre Total Distance = 30 L × 100 km6 L Total Distance = 5 × 100 km Total Distance = 500 km The car can travel 500 km 3 done, 2 left today. You're making progress.