Question

Jayden traveled 650 miles in 10 hours on his trip to Atlanta, Georgia. He drove at a constant speed during the whole trip. Write the ratio of miles to hours. Then use what you know about equivalent fractions to write a related rate and unit rate.

Answer 1

Jayden's ratio of miles to hours is 650 to 10, which simplifies to a unit rate of 65 miles per hour, indicating that he traveled at a constant speed of 65 mph during his trip to Atlanta.

Step-by-step explanation:

Jayden traveled 650 miles in 10 hours on his trip to Atlanta, Georgia, driving at a constant speed throughout the trip. To find the ratio of miles to hours, we simply divide the distance traveled by the time it took. The ratio is 650 miles to 10 hours, which simplifies to 65 miles to 1 hour when divided by 10. This shows that Jayden was traveling at a rate of 65 miles per hour (mph), which is the unit rate or average speed.

For example, if a car travels 150 kilometers in 3.2 hours, its average speed would be calculated by dividing the distance (150 km) by the time (3.2 h), resulting in an average speed of approximately 47 km/h. Similarly, for Jayden's trip, by dividing the total distance (650 miles) by the total time (10 hours), we obtain an average speed or unit rate of 65 mph, which indicates a steady-paced trip.