### Home > AC > Chapter 7 > Lesson 7.1.5 > Problem7-47

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.

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

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

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.

Solve your system of equations using the Equal Values Method.

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