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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?

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Do now
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?


If both teachers worked together
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?


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


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?




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