### Home > MC2 > Chapter 7 > Lesson 7.2.2 > Problem7-77

7-77.

Pierre was walking toward school at a rate of two miles per hour. He started six miles from school. Dom left school and walked toward Pierre at a rate of four miles per hour. When and how far from school will the boys pass each other?

Drawing a picture may be helpful.
Try and write an expression to represent these actions.

Notice that Pierre and Dom must walk a combined total of $6$ miles.

To find the amount of miles one person walks, you must multiply the rate by the time.
Let $x$ represent the amount of time the two will have walked when they pass each other.

Since the two must walk a total of $6$ miles:

At 1 hour, how many miles will Pierre have walked?
How far will he be from school?

$2x + 4x = 6$
Solve.

$x = 1$ hour