A car travels at a constant speed of 60 km/h for 2.5 hours, then increases its speed to 80 km/h for another 1.5 hours. What is the total distance traveled?
["Title: Understanding Distance Traveled: A Step-by-Step Calculation at Constant and Variable Speeds", "When analyzing how far a car travels, understanding how speed affects distance is essential—especially during varying driving conditions. Consider this realistic scenario: a car travels at a steady speed of 60 km/h for 2.5 hours, then increases speed to 80 km/h for an additional 1.5 hours. Knowing how to calculate total distance helps drivers plan trips, optimize fuel use, and manage travel time effectively.", "---", "### The Science of Distance and Speed", "Distance traveled is determined by the formula:", "[\n\ ext{Distance} = \ ext{Speed} \ imes \ ext{Time}\n]", "This simple yet powerful equation applies whether a car moves at a constant pace or changes speed during the journey.", "---", "### Step 1: Calculate Distance at Constant Speed", "The car travels at a constant speed of 60 km/h for 2.5 hours. Using the formula:", "[\n\ ext{Distance}_1 = 60 , \ ext{km/h} \ imes 2.5 , \ ext{h} = 150 , \ ext{km}\n]", "So, for the first segment, the car covers 150 kilometers.", "---", "### Step 2: Calculate Distance at Increased Speed", "Next, the car increases speed to 80 km/h for 1.5 hours:", "[\n\ ext{Distance}_2 = 80 , \ ext{km/h} \ imes 1.5 , \ ext{h} = 120 , \ ext{km}\n]", "During this segment, the car covers 120 kilometers.", "---", "### Step 3: Calculate Total Distance Traveled", "To find the total distance traveled, sum the two segments:", "[\n\ ext{Total Distance} = \ ext{Distance}_1 + \ ext{Distance}_2 = 150 , \ ext{km} + 120 , \ ext{km} = 270 , \ ext{km}\n]", "---", "### Conclusion: A Clear Journey of 270 Kilometers", "By applying basic physics principles, we determine that a car traveling at a constant 60 km/h for 2.5 hours, then accelerating to 80 km/h for 1.5 hours, covers a total distance of 270 kilometers. This breakdown not only confirms the value of careful calculations in everyday travel but also reinforces foundational math skills applicable in navigating real-world driving conditions.", "Keywords: car travel distance, constant speed travel, variable speed distance calculation, total distance driven, how far does a car travel at 60 km/h then 80 km/h, speed distance factor, math in driving, speed time distance formula, 60 km/h and 80 km/h journey, total distance formula."]
