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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.

User Duke Nuke
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1 Answer

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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
x represent the number of days Allen has been reading. Then the number of days Mark has been reading is
(x+1).

Mark is reading 40 pages per day. So, he will read
40(x+1) pages.

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

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


40(x+1)=45x


40x+40=45x


40=45x-40x


40=5x

Divide both sides by 5.


(40)/(5)=(5x)/(5)


8=x

In 8 days Allen will catch up to Mark.


45x=45(8)


45x=360

Therefore, they each have read 360 pages.

User Awied
by
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