A train travels 120 miles in 2 hours, then another 180 miles in 3 hours. What is the average speed of the train for the entire trip?
["A Train’s Journey: Calculating Average Speed Over Two Stages of Travel", "Understanding average speed is essential when analyzing travel times and distances—especially for long-distance train journeys like the one described: first 120 miles in 2 hours, then 180 miles in 3 hours. By breaking down the trip into segments and computing total distance and total time, we can determine the train’s true average speed for the entire journey.", "### The Journey Overview\nThe train travels two distinct segments:\n- Segment 1: 120 miles in 2 hours\n- Segment 2: 180 miles in 3 hours", "### Calculating Total Distance\nTo find the overall distance covered, add the two legs of the trip:\nTotal Distance = 120 miles + 180 miles = 300 miles", "### Calculating Total Time\nNext, sum the travel times for both segments:\nTotal Time = 2 hours + 3 hours = 5 hours", "### Calculating Average Speed\nAverage speed is computed as total distance divided by total time:\n[\n\ ext{Average Speed} = \frac{\ ext{Total Distance}}{\ ext{Total Time}} = \frac{300 \ ext{ miles}}{5 \ ext{ hours}} = 60 \ ext{ miles per hour (mph)}\n]", "### Conclusion\nThe train maintains a steady average speed of 60 mph for the entire trip. This calculation not only highlights the efficiency of the journey but also demonstrates how average speed provides a meaningful measure of travel performance—especially useful when distances vary in length, as in this case. Whether commuting, traveling between cities, or planning rail logistics, understanding average speed helps optimize schedules and fuel use.", "Key Takeaways:\n- Total distance: 300 miles\n- Total time: 5 hours\n- Average speed: 60 mph", "Keep tracking these metrics to better assess train operations and compare them across different routes and times.", "---", "Keywords for SEO: average speed train, train travel average speed, how to calculate average speed, train trip distance and time, 120 miles in 2 hours, 180 miles in 3 hours, train journey speed analysis", "This concise yet informative guide helps readers quickly grasp train travel speeds and apply the calculation to real-world scenarios—perfect for educators, commuters, and rail enthusiasts alike."]
