Tim can paint a room in 12 hours while Joanne takes 8 hours to paint the same room. How long will it take them to do the job if they work together?

1. Determine the hourly rate of each individual
__________ - Tim's rate to do the job
__________ - Joanne's rate to do the job

2. Create a ratio for their combined hourly rate (use variable T)
__________ - combined rate of Tim and Joanne to do the job

3. set up the equation
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4. Add fractions together
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5. solve for T
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6. simplify the fraction (if necessary)
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7. Therefore, how long will it take Tim and Joanne do the job if they work together?
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