Math Problem Statement

Sam swam 10 laps in 1

1 2

1 2 minutes.How many laps per minute did Sam swim?

Solution

Sam swam 10 laps in 1 ½ minutes.

To find the number of laps per minute, we divide the total number of laps by the total time:

Laps per minute=10 laps1.5 minutes=101.5\text{Laps per minute} = \frac{10 \text{ laps}}{1.5 \text{ minutes}} = \frac{10}{1.5}

Laps per minute=6.67 laps per minute\text{Laps per minute} = 6.67 \text{ laps per minute}

Sam swam approximately 6.67 laps per minute.

Would you like further explanation on this, or any other questions?

Here are 5 related questions:

  1. How would the laps per minute change if Sam swam 15 laps in 1 ½ minutes?
  2. What if Sam swam 10 laps in 2 minutes? What would the rate be then?
  3. How would you calculate the total time if Sam swam 20 laps at 6.67 laps per minute?
  4. Can you express the answer as a fraction instead of a decimal?
  5. How long would it take Sam to swim 50 laps at this rate?

Tip: When converting mixed numbers to improper fractions or decimals, it can simplify your calculations and lead to more precise results.

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Math Problem Analysis

Mathematical Concepts

Ratio
Unit Rate

Formulas

Laps per minute = Total laps / Total time

Theorems

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Suitable Grade Level

Grades 6-8