A car travels 150 km in 2 hours, then another 200 km in 3 hours. What is the average speed for the entire trip?
["Understanding Average Speed: A Case Study of a Journey with Two Segments", "When analyzing a car’s performance over a multi-leg trip, one of the most essential calculations is average speed. It helps us determine how efficiently a vehicle covers distance over time, making it a key metric for drivers, travelers, and even insurance or route planning calculations.", "Let’s explore a classic problem: a car travels 150 km in 2 hours, followed by another 200 km in 3 hours. What is the overall average speed for the entire journey?", "### What Is Average Speed?", "Average speed is the total distance traveled divided by the total time taken. It gives a single number that summarizes the entire trip, unlike average speed per segment, which reflects speed in each part of the journey.", "---", "### Step-by-Step Breakdown", "First Segment:\n- Distance: 150 km\n- Time: 2 hours\nSecond Segment:\n- Distance: 200 km\n- Time: 3 hours", "Step 1: Calculate total distance\nTotal distance = 150 km + 200 km = 350 km", "Step 2: Calculate total time\nTotal time = 2 hours + 3 hours = 5 hours", "Step 3: Calculate average speed\n[\n\ ext{Average speed} = \frac{\ ext{Total distance}}{\ ext{Total time}} = \frac{350 \ ext{ km}}{5 \ ext{ hours}} = 70 \ ext{ km/h}\n]", "---", "### Why This Matters for Drivers", "Knowing the average speed helps drivers assess travel realism, plan rest stops, and monitor fuel consumption. In this example, a steady 70 km/h average indicates a balanced trip—neither overly rushed nor excessively slow.", "Additionally, airport speed limits, highway signs, and insurance records often rely on such aggregated measurements, making this calculation both practical and crucial.", "---", "### Key Takeaways", "- Average speed considers the entire trip, not individual segments.\n- It’s calculated as total distance divided by total time.\n- In this journey: 150 km in 2 hours and 200 km in 3 hours results in a smooth 70 km/h average speed.\n- Understanding these metrics improves trip planning and real-world driving judgment.", "---", "Next time you hit the road, take a moment to calculate your own average speed—it might just keep you on schedule. Whether commuting or road tripping, average speed is your silent co-pilot in smarter driving."]
