Math Problem Statement

Tessa is training for her town's annual fun run. Today, she plans to run along a 1.55-mile loop trail in a nearby park. If Tessa wants to run a total of 3.1 miles, how many loops should she do?

Solution

To determine how many loops Tessa needs to run, we divide the total distance she wants to run by the length of the loop:

Number of loops=Total distanceLength of one loop=3.1miles1.55miles/loop=2\text{Number of loops} = \frac{\text{Total distance}}{\text{Length of one loop}} = \frac{3.1 \, \text{miles}}{1.55 \, \text{miles/loop}} = 2

So, Tessa should run 2 loops to complete a total of 3.1 miles.

Would you like more details on how I arrived at this answer or have any other questions? Here are a few related questions:

  1. What is the formula for calculating the number of loops in this scenario?
  2. How would you solve a similar problem if the loop was longer, say 2 miles?
  3. If Tessa runs 1 loop today, how much farther would she need to run to reach 3.1 miles?
  4. How can we calculate the total distance for any given number of loops?
  5. What units are typically used to measure running distances in the U.S.?

Tip: Always ensure your units match when dividing, like miles with miles. If they don’t, convert them first!

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Math Problem Analysis

Mathematical Concepts

Division
Word Problems
Unit Conversion

Formulas

Number of loops = Total distance / Length of one loop

Theorems

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Suitable Grade Level

Grades 4-6