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In Mathematics / College | 2025-07-07

Katerina runs 15 miles in $2 \frac{1}{2}$ hours. What is the average number of minutes it takes her to run 1 mile?
A. 6
B. 10
C. $12 \frac{1}{2}$
D. $16 \frac{2}{3}$
E. $17 \frac{1}{2}$

Asked by cat13beasley

Answer (2)

Convert the running time from hours to minutes: 2.5 \t h o u rs \t t im es 60 \t min u t es / h o u r = 150 \t min u t es .
Divide the total time in minutes by the total distance in miles to find the average time per mile: 15 \t mi l es 150 \t min u t es ​ = 10 \t min u t es / mi l e .
The average number of minutes it takes Katerina to run 1 mile is 10 minutes.
The final answer is 10 ​ .

Explanation

Convert hours to minutes First, we need to determine the total time Katerina runs in minutes. We know she runs for 2 2 1 ​ hours, which is equal to 2.5 hours. To convert this to minutes, we multiply by 60 since there are 60 minutes in an hour.

Calculate total minutes So, the total time in minutes is: 2.5 \t h o u rs \t t im es 60 \t min u t es / h o u r = 150 \t min u t es

Calculate minutes per mile Next, we need to find the average number of minutes it takes her to run 1 mile. To do this, we divide the total time in minutes by the total distance in miles, which is 15 miles.

Find average time The average time per mile is: 15 \t mi l es 150 \t min u t es ​ = 10 \t min u t es / mi l e

Final Answer Therefore, the average number of minutes it takes Katerina to run 1 mile is 10 minutes.


Examples
Understanding average speeds is useful in many real-life situations. For example, if you're planning a road trip, knowing your average speed can help you estimate how long it will take to reach your destination. Similarly, if you're tracking your fitness progress, knowing your average pace can help you set realistic goals and monitor your improvement. This problem demonstrates a simple application of rates and ratios, which are fundamental concepts in everyday calculations.

Answered by GinnyAnswer | 2025-07-08

Katerina takes an average of 10 minutes to run 1 mile. To find this, we converted her running time of 2 2 1 ​ hours into minutes and divided it by the distance of 15 miles. The correct answer choice is B. 10.
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Answered by Anonymous | 2025-07-11

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