Mark and Allen were assigned the same book to read for class. Mark started reading on Saturday , and he is reading 40 pages per day. Allen didn't start until Sunday , but he is still reading 45 pages a day. How many days will it take Allen to catch up to Mark, and how many pages will they each have read?

Let x represent the number of days Allen has been reading.

Given:

Mark started reading on Saturday , and he is reading 40 pages per day.

Allen didn't start until Sunday , but he is still reading 45 pages a day.

To find:

How many days will it take Allen to catch up to Mark, and how many pages will they each have read?

Solution:

Let represent the number of days Allen has been reading. Then the number of days Mark has been reading is .

Mark is reading 40 pages per day. So, he will read pages.

Allen is reading 45 pages a day. So, he will read pages.

Allen catch up to Mark when they read equal number of pages.

Divide both sides by 5.

In 8 days Allen will catch up to Mark.

Therefore, they each have read 360 pages.

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