1. Do Now:
Mr. Tamhane takes 6 minutes to solve a math problem, while Mr. Fox can solve the same problem in 5 minutes.
How much of a math problem can each teacher solve in one minute?
If each teacher worked for 7 minutes, how much work would each get done on their own?
If each teacher worked for x minutes, how much work would each get done on their own?

2. If both teachers worked together…
How could we represent their combined work in x minutes?
How could we show their combined work resulted in solving one problem? In solving two problems?

3. Ms. Karavitis can paint a garage in 30 minutes. Mr
Ms. Karavitis can paint a garage in 30 minutes. Mr. Tamhane can paint a garage in 15 minutes, because he spends all his time practicing garage painting. How long would it take them to paint 2 garages together?
Mr. Karavitis’ Rate
Mr. Tamhane’s Rate

4. It takes Mr. Tamhane 13 minutes to drink 3. 2 liters of Pepsi Max
It takes Mr. Tamhane 13 minutes to drink 3.2 liters of Pepsi Max. If it takes Mr. Cheung 12 minutes to accomplish the same task, how long will it take them to drink 6.4 liters of Pepsi Max together?
This depends on if you define the task as drinking 3.2 liters or drinking 1 liter

5. A nozzle fills a tank in 5 minutes
A nozzle fills a tank in 5 minutes. A second nozzle fills a tank in 15 minutes. The tank has a pipe draining water, which could empty a full tank in 30 minutes. How long would it take to completely fill the tank if it started out empty?

6. A father and his son can mow a lawn in 2 hours working together
A father and his son can mow a lawn in 2 hours working together. The son can mow the lawn in 6 hours on his own. How long would it take the father alone?