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## Algebra (all content)

### Course: Algebra (all content)>Unit 15

Lesson 4: Modeling with one-variable equations & inequalities

# Equations & inequalities word problems

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## 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 $\frac{1}{2}$ 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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