CPM Homework Help : AC Problem 7-47

Sam and Jimmica have both taken a speed-reading class and have been assigned to read a $300$ -page novel. Jimmica started reading at noon and read $10$ pages per minute. Sam was on page $62$ at noon and read $8$ pages per minute. Will Jimmica ever catch up to Sam? Explain how you found your answer.

Hint 1:

If you are having a hard time getting started, try making a table.

Possible table:

Minutes	$0$	$1$	$2$	$3$
Jimmica	$0$	$10$	$20$	$30$
Sam	$62$	$70$	$78$	$86$

Hint 2:

Write equations for the situation. Use the table if you need help. Remember to define your variables.

$y = \text{the number of pages read}$
$x = \text{the time in minutes}$

Jimmica: $y = 10x$
Sam: Write a similar equation.

Hint 3:

Solve your system of equations using the Equal Values Method.

Hint 4:

Remember - there are only $300$ pages in the book. Will Jimmica ever catch up to Sam?