### Home > AC > Chapter 3 > Lesson 3.1.7 > Problem3-64

3-64.

Pat delivers newspapers every morning. On average, she can deliver newspapers to $17$ homes in $12$ minutes.

1. If her normal route has $119$ homes, how long does it take her to deliver the mail on average?

Make a proportion and use the variable $n$ to represent the unknown number of minutes.

$\frac{ 17\text { homes}}{12 \text{ minutes}} = \frac{119 \text{ hours}}{n \text{ minutes}}$

Multiply both sides by 12.

$17 \text{ homes }=\frac{119 \text{ homes}\cdot 12 \text{ minutes}}{n \text{ minutes}}$

Try solving the rest on your own.

$n=84$

$\frac{ 17\text { homes}}{12 \text{ minutes}} = \frac{119 \text{ hours}}{84 \text{ minutes}}$

2. When another deliverer is sick, Pat's route expands to a total of $155$ homes. How long does this route take her?

See the hints and steps in part (a).