Final answer:
Luke reads at a rate of 36.75 pages per hour, rounding down to 36 pages when considering whole pages only. He continues reading at the same rate, his reading speed will allow him to read 36 pages in an hour, making option C the correct answer.
Step-by-step explanation:
Luke read 24 1/2 pages in 2/3 of an hour. To find out how many pages he will read in one hour, we can set up a proportional relationship: (pages)/(time).
First, we convert the mixed number to an improper fraction: 24 1/2 is the same as (24×2)+1 which equals 49/2 pages.
Now, we calculate the number of pages per hour using the rate:
Rate = (49/2) pages ÷ (2/3) hours
Rate = (49/2) × (3/2) pages per hour
Rate = 49×3/4
Rate = 147/4
Rate = 36.75 pages per hour. Thus, rounding down, Luke can read 36 pages in an hour because he cannot read a fraction of a page, making option C correct.
The professor reading more than 1,050 pages is irrelevant in this context and appears to be a typo; our computation is solely based on the information provided for Luke.