Question

Julia can finish a 20-mile bike ride in 1. 2 hours. Katie can finish the same bike ride in 1. 6 hours. To the nearest tenth of a mile, how much faster does Julia ride than Katie? Distance (mi) Rate (mph) Time (hr) Julia 20 1. 2 Katie 20 1. 6 4. 2 mph 8. 0 mph 12. 5 mph 15. 4 mph.

Answer 1

Julia rides approximately 4.2 mph faster than Katie.

Step-by-step explanation:

To find out how much faster Julia rides than Katie, we need to compare their average speeds. We can calculate the average speed by dividing the distance of the bike ride by the time taken.

For Julia, the distance is 20 miles and the time taken is 1.2 hours. So, her average speed is 20 miles / 1.2 hours = 16.7 miles per hour (mph).

For Katie, the distance is also 20 miles and the time taken is 1.6 hours. So, her average speed is 20 miles / 1.6 hours = 12.5 mph.

To find out how much faster Julia rides than Katie, we can subtract Katie's average speed from Julia's average speed.

16.7 mph - 12.5 mph = 4.2 mph

Therefore, Julia rides approximately 4.2 mph faster than Katie.

Answer 2

Julia rides at a speed of 16.7 mph, while Katie rides at a speed of 12.5 mph, making Julia 4.2 mph faster than Katie. To verify, their speeds were calculated using the formula Rate = Distance ÷ Time, and the result seems reasonable given the differences in their respective times.

Step-by-step explanation:

To find out how much faster Julia rides than Katie, we need to calculate the rate of speed for both of them. The rate is determined by dividing the distance traveled by the time it takes to travel that distance, which can be expressed as Rate = Distance ÷ Time.

For Julia:

• Distance = 20 miles
• Time = 1.2 hours
• Rate = 20 miles ÷ 1.2 hours = 16.7 mph (rounded to the nearest tenth)

For Katie:

• Distance = 20 miles
• Time = 1.6 hours
• Rate = 20 miles ÷ 1.6 hours = 12.5 mph

To determine how much faster Julia is than Katie, we subtract Katie's rate from Julia's rate:

16.7 mph - 12.5 mph = 4.2 mph

Thus, Julia rides 4.2 mph faster than Katie.

Lastly, we check if the answer is reasonable. Considering the smaller time it takes Julia to complete the ride, her higher speed indeed seems reasonable.