Math Problem Statement

What is the rate of reading or writing if 2 1/2 pages are completed in 4 minutes?

Solution

The image contains a fraction showing a rate: 212 pages4 minutes\frac{2\frac{1}{2} \text{ pages}}{4 \text{ minutes}}.

This can be interpreted as reading or writing 2.5 pages in 4 minutes. Let's break it down and analyze the rate further:

Step-by-Step Solution

  1. Convert 2122\frac{1}{2} (a mixed number) to an improper fraction or decimal: 212=2+0.5=2.5 pages.2\frac{1}{2} = 2 + 0.5 = 2.5 \text{ pages.}

  2. Determine the rate of pages per minute: Rate=2.5 pages4 minutes=2.54=0.625 pages per minute.\text{Rate} = \frac{2.5 \text{ pages}}{4 \text{ minutes}} = \frac{2.5}{4} = 0.625 \text{ pages per minute.}

  3. Alternatively, if needed, determine the time per page: Time per page=4 minutes2.5 pages=1.6 minutes per page.\text{Time per page} = \frac{4 \text{ minutes}}{2.5 \text{ pages}} = 1.6 \text{ minutes per page.}

Final Answer

  • The rate is 0.625 pages per minute.
  • The time required to complete one page is 1.6 minutes.

Would you like additional details or a graph to visualize this?

Related Questions:

  1. How many pages can be completed in 10 minutes at this rate?
  2. How much time would it take to complete 15 pages?
  3. What is the rate in pages per second?
  4. If the rate were doubled, how many pages could be completed in 4 minutes?
  5. How does this rate compare to someone completing 1 page per minute?

Tip:

When working with mixed numbers in rates or fractions, always convert them to decimals or improper fractions for easier calculations!

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Math Problem Analysis

Mathematical Concepts

Fractions
Rates
Unit Conversion

Formulas

Rate = Total Output / Total Time
Time per Unit = Total Time / Total Output

Theorems

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Suitable Grade Level

Grades 6-8