A train travels 180 km in 3 hours and then another 240 km in 4 hours. What is the average speed for the entire journey?
["Average Speed of a Train Journey: Analysis of a 180 km to 240 km Trip", "When traveling by train, understanding your average speed is essential for trip planning and assessing journey efficiency. Consider a real-world travel example: a train travels 180 kilometers in 3 hours, then 240 kilometers in 4 hours. What is the average speed for this entire journey?", "---", "### Understanding Average Speed", "Average speed is calculated by dividing the total distance traveled by the total time taken. It provides a single figure that reflects the entire trip’s pace, regardless of speed variations during different segments.", "---", "### Step 1: Calculate Total Distance", "The train covers two segments:\n- First leg: 180 km\n- Second leg: 240 km", "Total distance = 180 km + 240 km = 420 km", "---", "### Step 2: Calculate Total Time", "Travel times for each segment:\n- First leg: 3 hours\n- Second leg: 4 hours", "Total time = 3 hours + 4 hours = 7 hours", "---", "### Step 3: Compute Average Speed", "Using the formula:\n[\n\ ext{Average Speed} = \frac{\ ext{Total Distance}}{\ ext{Total Time}} = \frac{420\ \ ext{km}}{7\ \ ext{hours}} = 60\ \ ext{km/h}\n]", "---", "### Final Result", "The train’s average speed for the entire journey is 60 km/h, demonstrating consistent travel efficiency despite differing speeds across segments.", "---", "Understanding average speed helps passengers estimate arrival times accurately and compare journey performance across different routes or train schedules. For a trip combining multiple legs, total distance and total time provide the complete picture—just like in this example.", "If you’re planning a long train ride, remember: while some parts of your journey might feel faster, the average speed reveals the true pace of travel."]
