Fuel Efficiency Calculation How Far Can A Car Go On 11 Liters?

In this article, we will delve into a practical problem involving fuel efficiency and distance calculation. Fuel efficiency is a crucial aspect of vehicle ownership, impacting both the environment and our wallets. Understanding how far a car can travel on a given amount of fuel is essential for planning trips and managing fuel costs. The problem presented states that a car travels 15 kilometers on 7 liters of gasoline. Our goal is to determine the distance the car can cover with 11 liters of gasoline, using the provided calculations as a guide. This exercise will not only help us understand the relationship between fuel consumption and distance but also reinforce basic arithmetic skills. Let's break down the problem step by step and arrive at a clear and accurate solution.

To begin, it's essential to grasp the core concept: fuel efficiency. Fuel efficiency essentially tells us how many kilometers a vehicle can travel per liter of fuel. In this scenario, we know the car travels 15 kilometers using 7 liters of gasoline. This initial information is our foundation. From this, we can calculate the car's fuel efficiency, which will then allow us to determine the distance it can travel on 11 liters. The problem provides some initial calculations (45 ÷ 7 = 6.426, 6.42 × 7 = 44.94, 44.94 × 11 = 70.62), which seem to be attempts at solving the problem. However, we need to analyze these steps to ensure they are logically sound and arithmetically correct. We'll approach the problem using a method that directly calculates kilometers per liter and then applies that rate to the 11-liter scenario. By doing so, we can gain a clearer understanding of the fuel consumption and distance relationship and arrive at the correct solution. The following sections will detail the step-by-step calculation and provide a clear explanation of the process. Understanding the core relationship between fuel consumption and distance is crucial for solving this and similar problems effectively. Let's proceed with a systematic approach to unravel the solution.

To accurately determine the distance the car can travel on 11 liters of gasoline, we'll employ a step-by-step approach, focusing on calculating the car's fuel efficiency first. Fuel efficiency is the key to solving this problem, as it provides the ratio of distance traveled per unit of fuel consumed. We know the car travels 15 kilometers on 7 liters of gasoline. Our initial step is to find out how many kilometers the car can travel on 1 liter of gasoline. To do this, we divide the total distance (15 kilometers) by the amount of fuel consumed (7 liters). This calculation gives us the car's kilometers per liter (km/L) rating. So, 15 kilometers ÷ 7 liters = 2.142857 kilometers per liter (approximately). Now that we have the car's fuel efficiency, we can determine how far it can travel on 11 liters of gasoline. We simply multiply the kilometers per liter (km/L) rating by the new amount of fuel (11 liters). This calculation will give us the total distance the car can travel on 11 liters. Therefore, 2.142857 kilometers/liter × 11 liters = 23.571427 kilometers (approximately). Rounding this result to a more practical figure, we can say the car can travel approximately 23.57 kilometers on 11 liters of gasoline. This step-by-step approach ensures clarity and accuracy in our calculation, providing a reliable solution to the problem.

Let's break down the calculation process in more detail to ensure clarity and accuracy. As established, the core of this problem lies in understanding the relationship between distance, fuel consumption, and fuel efficiency. The initial information tells us that the car travels 15 kilometers on 7 liters of gasoline. This is our starting point. To find the fuel efficiency, which is the number of kilometers the car travels per liter of gasoline, we perform a division. We divide the total distance traveled (15 kilometers) by the amount of gasoline consumed (7 liters). This gives us: 15 km / 7 L = 2.142857 km/L (approximately). This value, approximately 2.14 kilometers per liter, represents the car's fuel efficiency. It tells us that for every liter of gasoline the car consumes, it can travel about 2.14 kilometers. Now that we know the car's fuel efficiency, we can calculate the distance it can travel on 11 liters of gasoline. To do this, we multiply the fuel efficiency (2.142857 km/L) by the amount of gasoline available (11 liters). This gives us: 2.142857 km/L * 11 L = 23.571427 kilometers (approximately). Therefore, the car can travel approximately 23.57 kilometers on 11 liters of gasoline. This detailed calculation demonstrates the process of converting fuel consumption information into a distance estimate. By understanding the fuel efficiency, we can predict how far the car can travel with different amounts of gasoline. This is a practical skill for trip planning and fuel management.

Understanding fuel efficiency and performing these calculations has significant practical applications in everyday life. Firstly, it allows for better trip planning. If you know the distance of your journey and your vehicle's fuel efficiency, you can estimate how much fuel you will need. This helps in budgeting for fuel costs and ensuring you don't run out of gas during your trip. For example, if you are planning a 200-kilometer trip and your car has a fuel efficiency of 10 kilometers per liter, you'll need approximately 20 liters of fuel (200 km / 10 km/L = 20 L). Secondly, understanding fuel consumption can help you manage fuel costs. By monitoring your car's fuel efficiency, you can identify potential issues, such as a drop in efficiency, which might indicate the need for maintenance or a change in driving habits. Efficient driving techniques, such as maintaining a steady speed and avoiding hard acceleration, can significantly improve fuel economy. Thirdly, these calculations contribute to environmental awareness. Lower fuel consumption means fewer emissions, contributing to a smaller carbon footprint. By choosing fuel-efficient vehicles and adopting eco-friendly driving habits, we can all play a part in reducing environmental impact. Furthermore, the ability to calculate distances based on fuel availability is crucial in emergency situations. If you find yourself in a situation where fuel is limited, knowing your car's fuel efficiency can help you make informed decisions about how far you can travel and where to seek assistance. In summary, understanding fuel efficiency and performing these calculations is not just a mathematical exercise; it's a valuable skill with numerous real-world applications that can save you money, improve your travel planning, and contribute to environmental sustainability.

In conclusion, the problem we addressed demonstrated a practical application of basic arithmetic in the context of fuel efficiency. We successfully calculated the distance a car can travel on 11 liters of gasoline, given that it travels 15 kilometers on 7 liters. The key to solving this problem was understanding the concept of fuel efficiency, which is the ratio of distance traveled per unit of fuel consumed. By first calculating the car's fuel efficiency (kilometers per liter) and then multiplying that value by the new amount of fuel (11 liters), we determined that the car can travel approximately 23.57 kilometers. This step-by-step approach ensures clarity and accuracy in the calculation process. Furthermore, we discussed the practical applications of understanding fuel efficiency, including trip planning, fuel cost management, environmental awareness, and emergency preparedness. The ability to estimate fuel consumption and distance is a valuable skill that can benefit individuals in various real-world scenarios. This exercise not only reinforced our mathematical abilities but also highlighted the importance of understanding practical concepts related to vehicle operation and resource management. By mastering such calculations, we can make informed decisions, save money, and contribute to a more sustainable future. The problem we solved serves as a clear example of how mathematical concepts are directly applicable to everyday life, making learning mathematics a relevant and beneficial endeavor.