Math Problem Statement
Solution
The problem in the image is:
Mia is walking around the city park. Then she decided to run that same distance. Her walking speed is 4 mph and her running speed is 8 mph. If it took her 3 hours to walk around the park, how much time did it take her to run around the park?
Solution:
First, let's calculate the distance Mia walked around the park. Since distance is calculated using the formula:
Given her walking speed is 4 mph and the time spent walking is 3 hours, the distance she walked is:
Now, she runs the same distance, but at a speed of 8 mph. To find out how much time it took her to run, we use the formula:
Substituting the values:
Answer:
It took Mia 1.5 hours to run around the park.
Do you have any questions or would you like more details?
Here are 5 related questions to consider:
- How would the answer change if Mia's running speed was 10 mph instead of 8 mph?
- What is the total time Mia spent for both walking and running the park?
- If Mia walked half the distance and ran the other half, how long would the entire journey take?
- How long would it take Mia to walk twice the distance at the same speed?
- What is the ratio of her walking time to her running time?
Tip: When working with distance, time, and speed, always ensure the units are consistent throughout the calculations.
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Math Problem Analysis
Mathematical Concepts
Distance
Time
Speed
Proportions
Formulas
Distance = Speed × Time
Time = Distance / Speed
Theorems
-
Suitable Grade Level
Grades 5-7
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