Question
Ms. Graves gave her class 12 minutes to read. Carrie read 5 1/2 pages in that time. At what rate, in pages per hour, did Carrie read?
A
1 1/10
B
22
C
27 1/2
D
66
Answers
GPT-4o mini
To find Carrie's reading rate in pages per hour, we first need to convert the time from minutes to hours, then calculate the reading rate.
1. **Convert time from minutes to hours:**
\[
12 \text{ minutes} = \frac{12}{60} \text{ hours} = \frac{1}{5} \text{ hours}
\]
2. **Determine the number of pages read:**
Carrie read \(5 \frac{1}{2}\) pages, which can be converted to an improper fraction:
\[
5 \frac{1}{2} = \frac{11}{2} \text{ pages}
\]
3. **Calculate the reading rate in pages per hour:**
The reading rate (in pages per hour) can be found using the formula:
\[
\text{Rate} = \frac{\text{Pages}}{\text{Time in hours}} = \frac{\frac{11}{2} \text{ pages}}{\frac{1}{5} \text{ hours}}
\]
When dividing by a fraction, multiply by its reciprocal:
\[
\text{Rate} = \frac{11}{2} \times \frac{5}{1} = \frac{11 \times 5}{2} = \frac{55}{2} \text{ pages per hour}
\]
4. **Convert this to a mixed number for better understanding:**
\[
\frac{55}{2} = 27 \frac{1}{2} \text{ pages per hour}
\]
Therefore, the rate at which Carrie read is **27 1/2 pages per hour**.
The correct answer is **C) 27 1/2**.
1. **Convert time from minutes to hours:**
\[
12 \text{ minutes} = \frac{12}{60} \text{ hours} = \frac{1}{5} \text{ hours}
\]
2. **Determine the number of pages read:**
Carrie read \(5 \frac{1}{2}\) pages, which can be converted to an improper fraction:
\[
5 \frac{1}{2} = \frac{11}{2} \text{ pages}
\]
3. **Calculate the reading rate in pages per hour:**
The reading rate (in pages per hour) can be found using the formula:
\[
\text{Rate} = \frac{\text{Pages}}{\text{Time in hours}} = \frac{\frac{11}{2} \text{ pages}}{\frac{1}{5} \text{ hours}}
\]
When dividing by a fraction, multiply by its reciprocal:
\[
\text{Rate} = \frac{11}{2} \times \frac{5}{1} = \frac{11 \times 5}{2} = \frac{55}{2} \text{ pages per hour}
\]
4. **Convert this to a mixed number for better understanding:**
\[
\frac{55}{2} = 27 \frac{1}{2} \text{ pages per hour}
\]
Therefore, the rate at which Carrie read is **27 1/2 pages per hour**.
The correct answer is **C) 27 1/2**.