Two classmates got together over the weekend to do their assigned History reading. Ellie can read 3 pages per minute, while Darell can read 2 pages per minute. When they met, Ellie had already read 14 pages, and Darell had already gotten through 45 pages. After a while, they had both read the same number of pages. How long did that take? How many pages had each one read?After minutes, Ellie and Darell had each read pages.

Let's solve this problem step by step:

1. First, we need to determine how many pages behind Ellie is compared to Darell. Darell has read 45 pages and Ellie has read 14 pages, so Ellie is 45 - 14 = 31 pages behind Darell.

2. Next, we need to figure out how long it will take for Ellie to catch up to Darell. Ellie reads 1 page more per minute than Darell (3 pages per minute - 2 pages per minute = 1 page per minute). So, to catch up the 31 pages, Ellie will need 31 pages ÷ 1 page per minute = 31 minutes.

3. Now, we need to determine how many pages each one has read. In 31 minutes, Ellie has read 31 minutes × 3 pages per minute = 93 pages. But remember, Ellie had already read 14 pages before they started reading together, so in total Ellie has read 93 pages + 14 pages = 107 pages.

4. Darell reads at a rate of 2 pages per minute, so in 31 minutes, Darell has read 31 minutes × 2 pages per minute = 62 pages. Adding the 45 pages Darell had already read before they started reading together, Darell has read 62 pages + 45 pages = 107 pages.

So, after 31 minutes, Ellie and Darell had each read 107 pages.