Final answer:
Ana reads 175 pages in 5 hours, combining her reading rates for economics and sociology. It is unlikely she will need to read more than 1,050 pages in a single day since that would require her to study 6 days at the same daily rate.
Step-by-step explanation:
The subject of this question is Mathematics, specifically handling rate and time-related word problems to calculate the total quantity of work completed within a given timeframe. To find out the total number of pages Ana can read in 5 hours, we need to multiply the number of pages she can read per hour by the number of hours she spends reading.
Ana reads 20 pages of economics in an hour and 50 pages of sociology in an hour. Assuming she spends the same amount of time on each subject, she would read:
- 20 pages of economics × 2.5 hours = 50 pages
- 50 pages of sociology × 2.5 hours = 125 pages
Adding these up, Ana reads a total of:
50 pages (economics) + 125 pages (sociology) = 175 pages in 5 hours.
Without doing any calculations, it is unlikely that Ana will need to read more than 1,050 pages because if she reads for 5 hours at her current rate, 175 pages per day multiplied by 6 days, gives a total of 1,050 pages. As she is only studying for 5 hours per day, it is not likely that she will reach this total in one day.