1. Answers to Homework (12-8)
1) a = 4 3) c = 1 5) m = 1/3 7) p = -13/2 9) x = -4 11) z = -3, z = 2 13) e = 1

2. Warm ups

3. Work Problems
Objective: To solve work problems involving rational expressions (combined time).
Standard 5.0

4. Use this formula:

5. Word Problem Notes 1
3) Working alone, Danielle can sweep a porch in 13 minutes. Gariella can sweep the same porch in 15 minutes. Find how long it would take them if they worked together.

6. Word Problem Notes 1
4) It takes Kali 12 minutes to sweep a porch. James can sweep the same porch in 13 minutes. Find how long it would take them if they worked together.

7. Word Problem Notes 1
5) It takes Daniel 15 hours to pick forty bushels of apples. Shawna can pick the same amount in 11 hours. If they worked together, how long would it take them?

8. Word Problem Notes 1
6) It takes Ryan 14 minutes to inflate twenty balloons. Jessica can inflate the same twenty balloons in 13 minutes. Find how long it would take them to work together.

9. WATCH OUT!
A bathtub fills in 15 minutes when the drain is closed. When the drain is open and the faucet is off, the tub drains in 20 minutes. How long would it take to fill the tub if the drain is open and the faucet is on?
LCD: 60 3 4 60 60 60

10. TOO
Anne can complete a project in 6 hours. It takes Will 9 hours to do the same job. How long will it take them if they work together?
18/5 hours
3 3/5 hours
3.6 hours
3 hours 36 minutes

11. Homework
Worksheet:
Problem Solving: Work Problems

12. Warm ups

13. Solving Review

14. Math Lab Review–
If it takes Joe 45 minutes to prepare 20 greeting cards and it takes Lisa 30 minutes to prepare 20 greeting cards, how long will it take if they work together? Joe 1 job Lisa 1 job 45 min 30 min x = time in minutes to work together

15. Equation 3
LCD: 90 2 90 90 90

16. Math Lab 1
Working alone, Franky can sweep a porch in 13 minutes. Brian can sweep the same porch in 15 minutes. Find how long it would take them if they worked together?

17. Math Lab 2
It takes Emma 12 minutes to eat Kyle’s candy. Michelle can eat Kyle’s candy in 8 minutes. How long would it take them if they worked together?

18. Math Lab 3
Working alone, H can wash her car in 3 hours. Natalie can wash her car in 30 minutes. Find how long it would take them if they worked together.

19. Math Lab 4
Working alone, Ava can plant a tree in 6 hours. Maro can plant a tree in 5 hours. Find how long it would take them if they worked together.

20. Practice Test Time! Multiple choice Show all of your work 
Stay on task