Question
A printer can print 27 pages in 4.5 minutes. How much time does it need to print 324 pages?
Answers
GPT-4o mini
To find out how long it takes for the printer to print 324 pages, we first need to determine the printing rate.
1. **Calculate the rate of printing:**
The printer can print 27 pages in 4.5 minutes, so we can express this as:
\[
\text{Rate} = \frac{27 \text{ pages}}{4.5 \text{ minutes}} = 6 \text{ pages per minute}
\]
2. **Calculate the time needed to print 324 pages:**
Using the printing rate, we can find out how many minutes it takes to print 324 pages.
\[
\text{Time} = \frac{\text{Total Pages}}{\text{Rate}} = \frac{324 \text{ pages}}{6 \text{ pages per minute}} = 54 \text{ minutes}
\]
Thus, the printer needs **54 minutes** to print 324 pages.
1. **Calculate the rate of printing:**
The printer can print 27 pages in 4.5 minutes, so we can express this as:
\[
\text{Rate} = \frac{27 \text{ pages}}{4.5 \text{ minutes}} = 6 \text{ pages per minute}
\]
2. **Calculate the time needed to print 324 pages:**
Using the printing rate, we can find out how many minutes it takes to print 324 pages.
\[
\text{Time} = \frac{\text{Total Pages}}{\text{Rate}} = \frac{324 \text{ pages}}{6 \text{ pages per minute}} = 54 \text{ minutes}
\]
Thus, the printer needs **54 minutes** to print 324 pages.