The Correct Answer and Explanation is:
The correct answer is C, 8 hours 6 minutes.
To solve this problem, we first need to determine the total number of pages that the machine must print. The document has 324 pages, and the machine needs to make 36 complete copies. We can find the total number of pages by multiplying these two values together.
Total pages = 324 pages per document × 36 copies
Total pages = 11,664 pages
Next, we calculate the total time it will take to print all these pages. The problem states that the photocopy machine can copy at a rate of 24 pages per minute. To find the total time in minutes, we divide the total number of pages by the machine’s speed.
Total time in minutes = 11,664 pages ÷ 24 pages per minute
Total time in minutes = 486 minutes
The final step is to convert this total time from minutes into the format of hours and minutes, as shown in the answer choices. Since there are 60 minutes in an hour, we divide the total minutes by 60 to find the number of full hours.
Number of hours = 486 ÷ 60
486 divided by 60 is 8 with a remainder. This means the process takes 8 full hours.
To find the remaining minutes, we can multiply the number of hours by 60 and subtract that from the total minutes.
Minutes in 8 hours = 8 hours × 60 minutes per hour = 480 minutes
Remaining minutes = 486 total minutes – 480 minutes = 6 minutes.
Therefore, the total time required for the machine to complete the job is 8 hours and 6 minutes.
