1. Essential Questions Solving Rational Equations and Inequalities
How do we solve rational equations and inequalities?
Holt McDougal Algebra 2
Holt Algebra 2

2. Example 1: Problem-Solving Application
On a river, a kayaker travels 2 mi upstream and 2 mi downstream in a total of 5 h. In still water, the kayaker can travel at an average speed of 2 mi/h. Based on this information, what is the average speed of the current of this river? Round to the nearest tenth.
Going Upstream:
Going Downstream:

3. Example 2: Problem-Solving Application
A jet travels 3950 mi from Chicago, Illinois, to London, England, and 3950 mi on the return trip. The total flying time is 16.5 h. The return trip takes longer due to winds that generally blow from west to east. If the jet’s average speed with no wind is 485 mi/h, what is the average speed of the wind during the round-trip flight? Round to the nearest mile per hour.
Going East:
Going West:

4. Example 3: Problem-Solving Application
Natalie can finish a 500-piece puzzle in about 8 hours. When Natalie and Renzo work together, they can finish a 500-piece puzzle in about 4.5 hours. About how long will it take Renzo to finish a 500-piece puzzle if he works by himself?
Time to finish together = 4.5
Natalie’s Rate:
Renzo’s Rate:
It will take Renzo about 10.3 hours, or 10 hours 17 minutes to complete a 500-piece puzzle working by himself.

5. Example 4: Problem-Solving Application
Julien can mulch a garden in 20 minutes. Together Julien and Remy can mulch the same garden in 11 minutes. How long will it take Remy to mulch the garden when working alone?
Time to finish together = 11
Julien’s Rate:
Renzo’s Rate:
It will take Remy about 24.4 minutes to mulch the garden working by himself.

6. Lesson 6.5 Practice B