A car travels 300 kilometers in 4 hours. If the car increases its speed by 25% for the next 2 hours, how far will it travel in total?
["Title: How a Car’s Speed Boost Impacts Total Distance Traveled: Solving a Real-World Example", "When a car travels 300 kilometers in 4 hours, its average speed is a crucial starting point. Understanding how speed changes over time helps optimize travel planning and fuel efficiency—especially valuable for drivers and logistics planners. In this article, we analyze a practical scenario: a car that travels 300 km in 4 hours, then increases its speed by 25% for the next 2 hours. We’ll calculate the total distance covered and explore how speed impacts journey performance.", "---", "### Step 1: Calculate Initial Speed", "We begin by determining the car’s initial speed. The car covers 300 km in 4 hours.", "[\n\ ext{Initial Speed} = \frac{\ ext{Distance}}{\ ext{Time}} = \frac{300,\ ext{km}}{4,\ ext{hours}} = 75,\ ext{km/h}\n]", "---", "### Step 2: Increase Speed by 25%", "The car then increases its speed by 25% for the next 2 hours. To find the new speed:", "[\n\ ext{Speed Increase} = 75,\ ext{km/h} \ imes 0.25 = 18.75,\ ext{km/h}\n]", "[\n\ ext{New Speed} = 75,\ ext{km/h} + 18.75,\ ext{km/h} = 93.75,\ ext{km/h}\n]", "---", "### Step 3: Calculate Distance Covered in Next 2 Hours", "With the higher speed, the distance traveled in the following 2 hours is:", "[\n\ ext{Distance} = \ ext{Speed} \ imes \ ext{Time} = 93.75,\ ext{km/h} \ imes 2,\ ext{h} = 187.5,\ ext{km}\n]", "---", "### Step 4: Calculate Total Distance Traveled", "Add distances from both segments:", "[\n\ ext{Total Distance} = 300,\ ext{km} + 187.5,\ ext{km} = 487.5,\ ext{km}\n]", "---", "### Conclusion: Total Distance After 6 Hours", "After traveling 300 km in the first 4 hours, the car continues at a 25% faster speed for 2 more hours, adding 187.5 km. Therefore, the total distance traveled over 6 hours is 487.5 kilometers.", "This calculation highlights how even a modest increase in speed—such as a 25% boost—can significantly improve travel efficiency over time. Whether navigating long trips or optimizing daily commutes, understanding speed dynamics enhances planning and performance.", "---", "### Key Takeaways:", "- Initial speed = 75 km/h\n- Speed increase = 25% → New speed = 93.75 km/h\n- Distance in next 2 hours = 187.5 km\n- Total distance = 487.5 km over 6 hours", "By adjusting speed strategically, drivers can maximize distance covered and improve journey efficiency—proving that small changes yield measurable results.", "---", "Keywords: car speed calculation, distance traveled, 75 km/h, 25% speed increase, total distance formula, travel efficiency, kilometers per hour comparison, driving speed analysis", "Meta Description:\nDiscover how a car traveling 300 km in 4 hours covers additional distance by boosting speed by 25% for 2 hours. Learn the total 6-hour journey distance and the impact of speed on travel planning. Ideal for drivers and logistics professionals."]
