Math Problem Statement

Kaitlin runs

6

miles in

55

minutes. At the same rate, how many miles would she run in

44

minutes?

Solution

To solve the problem, we need to determine how many miles Kaitlin would run in 44 minutes if she maintains the same rate.

First, we calculate Kaitlin's running rate in miles per minute:

Rate=6 miles55 minutes0.1091 miles per minute\text{Rate} = \frac{6 \text{ miles}}{55 \text{ minutes}} \approx 0.1091 \text{ miles per minute}

Now, we multiply this rate by 44 minutes to find out how many miles she would run in that time:

Distance=0.1091 miles per minute×44 minutes4.8 miles\text{Distance} = 0.1091 \text{ miles per minute} \times 44 \text{ minutes} \approx 4.8 \text{ miles}

So, at the same rate, Kaitlin would run approximately 4.8 miles in 44 minutes.

Would you like a detailed breakdown of the steps, or do you have any questions?

Here are 5 related questions to explore further:

  1. How long would it take Kaitlin to run 10 miles at the same rate?
  2. If Kaitlin increases her speed by 10%, how many miles will she cover in 44 minutes?
  3. How many minutes would it take her to run 3 miles at the same rate?
  4. What is Kaitlin's average speed in miles per hour?
  5. How would the distance change if she runs for 30 minutes at the same rate?

Tip: When dealing with rate problems, always check units (like minutes and hours) to ensure they match up during calculations.

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Math Problem Analysis

Mathematical Concepts

Proportional Reasoning
Rates
Unit Conversion

Formulas

Rate = Distance / Time
Distance = Rate * Time

Theorems

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Suitable Grade Level

Grades 6-8