If Marie were to paint her living room alone, it would take 3 hours. Her sister Patricia could do the job in 6 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

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Answer: 2

Step-by-step explanation:

the rate Marie paints the room= 1/3

The rate her sister paints the room= 1/6

working together their combined rate is 1/3+1/6 =9/18

the time for then to work together= 9/18

= 2 hours.

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