Let's solve the problem step by step:
1. Calculate the rate of reading:
Clare read 1,025 pages over 25 hours. To find out how many pages she reads per hour, we divide the total number of pages by the total number of hours:
[tex]\[
\text{Pages per hour} = \frac{1025 \text{ pages}}{25 \text{ hours}} = 41 \text{ pages per hour}
\][/tex]
2. Determine the additional hours of reading:
Clare has read for a total of 28 hours. The additional hours she read beyond the initial 25 hours can be calculated as:
[tex]\[
\text{Additional hours} = 28 \text{ hours} - 25 \text{ hours} = 3 \text{ hours}
\][/tex]
3. Calculate the additional pages read in the additional hours:
Using the rate of 41 pages per hour, we can find out how many additional pages Clare read in those extra 3 hours:
[tex]\[
\text{Additional pages} = 41 \text{ pages/hour} \times 3 \text{ hours} = 123 \text{ pages}
\][/tex]
4. Calculate the new total of pages read:
Finally, to find the total number of pages Clare has read after 28 hours, we add the additional pages to the initial total of 1,025 pages:
[tex]\[
\text{New total of pages} = 1025 \text{ pages} + 123 \text{ pages} = 1148 \text{ pages}
\][/tex]
Therefore, after a total of 28 hours of reading, Clare will have read 1,148 pages.
