A train travels 180 km at a speed of 60 km/h, then continues for another 120 km at 80 km/h. What is the average speed for the entire journey?
["Title: How to Calculate Average Speed for a Two-Part Train Journey", "When analyzing train travel, especially long-distance routes, understanding average speed is essential for accurate journey planning and performance evaluation. Consider a frequent journey: a train travels 180 km at a steady 60 km/h, then continues for 120 km at a faster speed of 80 km/h. What is the average speed for the entire trip? Let’s break it down step by step.", "---", "### The Journey Overview", "- First segment: 180 km at 60 km/h\n- Second segment: 120 km at 80 km/h", "---", "### Step 1: Calculate Time for Each Segment", "Average speed depends on total distance and total time, not just raw speed. So first, compute how long each part of the journey took.", "First Segment:\nDistance = 180 km, Speed = 60 km/h\nTime = Distance ÷ Speed = 180 ÷ 60 = 3 hours", "Second Segment:\nDistance = 120 km, Speed = 80 km/h\nTime = 120 ÷ 80 = 1.5 hours", "---", "### Step 2: Calculate Total Distance and Total Time", "- Total Distance = 180 km + 120 km = 300 km\n- Total Time = 3 hours + 1.5 hours = 4.5 hours", "---", "### Step 3: Calculate Average Speed", "Average speed is the total distance divided by total time:", "[\n\ ext{Average Speed} = \frac{\ ext{Total Distance}}{\ ext{Total Time}} = \frac{300}{4.5} = 66.\overline{6} \ ext{ km/h} \approx 66.7 \ ext{ km/h}\n]", "---", "### Why Average Speed Matters", "Average speed gives a single, meaningful number representing the entire journey’s efficiency, helping passengers and transport planners evaluate performance. Despite varying speeds, the train maintains an overall speed of about 66.7 km/h for this route.", "---", "Conclusion\nTo find the average speed for multi-segment journeys like this train trip: calculate time for each segment, sum total distance and time, then divide. In this case, the journey’s average speed is approximately 66.7 km/h—a clear reflection of fluctuating yet efficient travel. Understanding these calculations helps riders plan better and optimize rail operations.", "---", "Keywords: average speed calculation, train travel time, average speed formula, journey planning, train speed comparison, how fast is a train, 180 km at 60 km/h, 120 km at 80 km/h, trip averages, rail transport efficiency."]
