Penny reads 11 pages in one half

Question

hour. What is the unit rate for pages per​ hour? For hours per​ page?
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Part 1
The unit rate is
  
enter your response here ​page(s) per hour.
​(Simplify your answer. Type an​ integer, proper​ fraction, or mixed​ number.)

Answer 1

To find the unit rate for pages per hour, we start with the information that Penny reads 11 pages in half an hour.

1. Calculate the number of pages read in one hour: Since half an hour is \( \frac{1}{2} \) hour, we can find the pages she would read in one whole hour by doubling the number of pages read:

   \[ \text{Pages per hour} = 11 \text{ pages in } \frac{1}{2} \text{ hour} \times 2 = 22 \text{ pages per hour} \]

So, the unit rate for pages per hour is 22 pages per hour.

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Now, for hours per page, we can calculate the time it takes to read one page.

2. Calculate the hours per page: If she reads 11 pages in half an hour, we can find the time to read one page by dividing the time by the number of pages:

   \[ \text{Hours per page} = \frac{\frac{1}{2} \text{ hour}}{11 \text{ pages}} = \frac{1}{2 \cdot 11} = \frac{1}{22} \text{ hours per page} \]

Therefore, the unit rate for hours per page is \(\frac{1}{22}\) hours per page.

To recap:

• Pages per hour: 22 pages per hour
• Hours per page: \(\frac{1}{22}\) hours per page