A car travels 150 miles in 3 hours. What is its average speed in miles per hour, and how long will it take to travel 250 miles at the same speed?
["Understanding Average Speed: How Fast Is a Car Traveling 150 Miles in 3 Hours?", "When analyzing vehicle performance, speed is a key metric. A common example is a car that travels 150 miles in 3 hours. This scenario offers a clear opportunity to calculate average speed—an essential concept for drivers, travelers, and anyone interested in automotive efficiency.", "### Calculating Average Speed", "Average speed measures how fast a vehicle moves over a given distance. The formula is straightforward:", "[\n\ ext{Average Speed} = \frac{\ ext{Total Distance}}{\ ext{Total Time}}\n]", "For the car traveling 150 miles in 3 hours:", "[\n\ ext{Average Speed} = \frac{150 \ ext{ miles}}{3 \ ext{ hours}} = 50 \ ext{ miles per hour (mph)}\n]", "Thus, the car’s average speed is 50 mph. This means the vehicle covers 50 miles in every hour when moving at a steady pace.", "### How Long Will It Take to Travel 250 Miles at 50 mph?", "Next, we determine how long a trip covering 250 miles would take at the same average speed of 50 mph. Use the formula:", "[\n\ ext{Time} = \frac{\ ext{Distance}}{\ ext{Speed}}\n]", "Substituting the values:", "[\n\ ext{Time} = \frac{250 \ ext{ miles}}{50 \ ext{ mph}} = 5 \ ext{ hours}\n]", "Therefore, at an average speed of 50 mph, the car will take 5 hours to travel 250 miles.", "### Why Knowing Average Speed Matters", "Understanding average speed helps with trip planning, fuel efficiency assessments, and safety. Maintaining a steady 50 mph speed over long distances can optimize energy consumption and reduce travel time predictably.", "---", "In summary:\n- A car traveling 150 miles in 3 hours averages 50 miles per hour.\n- At this speed, covering 250 miles takes 5 hours.", "Whether commuting, planning road trips, or evaluating vehicle performance, knowing how speed relates to time and distance is crucial for efficient travel."]
