jesse and Amir were assigned the same book to read. Jesses started reading on saturday,and he is reading 30 pages a day. Amir didn't start unitll Sunday,but he is reading 35 pages a day.how many days will take Amir to catch up to jesses, and how many pages will they each have read?



Answer :

• Jesse:

Reads 30 pages per day

• Amir

Reads 35 pages per day

So, for Amir, the number of days will be x, and y will be the number of pages read in total:

y = 35x

Since he reads 35 pages per day = 35x

For Jesse, since she already started on Saturday, she has a 1-day advantage.

Days = (1+x)

y = 30 (1+x)

Equal both equations:

35x=30(1+x)

Solve for x (days to catch up)

35x= 30(1)+ 30(x)

35x= 30+30x

35x-30x=30

5x=30

x=30/5

x= 6 days

It will take Amir 6 days to catch up.

To obtain the number of pages, replace x by 6 on any equation:

Amir = y = 35 x = 35 (6)= 210 pages