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## Algebra 2

### Unit 12: Lesson 4

Modeling with two variables

# Equations & inequalities word problems

## Problem

The Smiths and the Johnsons were competing in the final leg of the Amazing Race. In their race to the finish, the Smiths immediately took off on a 165 kilometer path traveling at an average speed of v kilometers per hour.
The Johnsons' start was delayed by start fraction, 1, divided by, 2, end fraction hour. Eventually, they took a 180 kilometer path to the finish, traveling at an average speed that was 20 kilometers per hour faster than the Smiths' speed.
The Johnsons arrived at the finish line first and won the race!
Write an inequality in terms of v that models the situation.
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