Average speed: \( \frac{300}{\frac{25}{6}} = \frac{300 \times 6}{25} = 72 \) km/h.

["Understanding Average Speed: How to Calculate Speed When Time and Distance Are Given", "Calculating average speed is a fundamental concept in physics and everyday travel planning. Whether you’re commuting, driving, or analyzing motion, knowing how to compute average speed properly can save time and improve understanding of travel times. One classic formula used to find average speed when distance and time are given is:", "[\n\ ext{Average Speed} = \frac{\ ext{Distance}}{\ ext{Time}} = \frac{\ ext{Distance} \ imes \ ext{Numerator Factor}}{\ ext{Denominator Factor}} \quad \ ext{(when simplified)}\n]", "---", "### How to Solve the Common Average Speed Problem", "Consider this real-world example: \n\nIf a car travels 300 kilometers at a time of ( \frac{25}{6} ) hours, what is its average speed?", "Using the average speed formula:", "[\n\ ext{Average Speed} = \frac{300}{\frac{25}{6}} = \frac{300 \ imes 6}{25} = \frac{1800}{25} = 72 \ ext{ km/h}\n]", "This calculation transforms division into multiplication by flipping the fraction in the denominator, a key algebraic step that simplifies solving speed problems.", "---", "### Why Flip the Denominator?", "In fractions, dividing by a number is the same as multiplying by its reciprocal. Since:", "[\n\frac{300}{\frac{25}{6}} = 300 \div \left( \frac{25}{6} \right) = 300 \ imes \left( \frac{6}{25} \right)\n]", "This manipulation preserves mathematical accuracy while transforming division into a more intuitive multiplication. It’s especially helpful in speed, distance, and time problems where clearing fractions makes solving easier.", "---", "### Practical Applications of Average Speed", "- Navigation and Travel: Understand how long your commute will take given a distance and average speed.\n- Fuel Planning: Estimate fuel consumption based on average speed and trip distance.\n- Education: Learn the mathematical fundamentals behind motion analysis in physics.\n\n---", "### Quick Recap", "- Average speed = total distance ÷ total time\n- When dividing by a fraction, multiply by its reciprocal:\n [\n \frac{300}{\frac{25}{6}} = 300 \ imes \frac{6}{25} = 72 \ ext{ km/h}\n ]\n- This simple method simplifies many travel-related calculations and reinforces core algebra skills.", "---", "### Final Notes", "Mastering average speed calculations is essential for anyone using distance and time data in transport, physics, or daily planning. Remember: flipping the denominator when dividing turns a division problem into a straightforward multiplication, making average speed easier to compute and understand.", "Keywords: average speed formula, calculating speed, flipping fractions, speed calculation example, travel speed math, algebra and distance, km/h speed problem, how to compute average speed", "---", "Transform your math skills — and your travel planning — by mastering this proven formula!"]