Paint a Room 6

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Period ___ 

Danielle, Nathan, Madison, Brianna, Rachel, and Sierra each work for EdHelper Painters. It would take six hours, seven hours, eleven hours, eight hours, thirteen hours, and nine hours for them to each paint a room by themselves.

Figure out how long each person needs to paint a room alone.


1.    Madison is not the one who takes eight hours to paint a room.

2.    If Danielle and Sierra painted the room together, it would take them 3 hours and 53 minutes.

3.    Nathan needs more than eight hours to paint a room.

4.    Danielle needs more than nine hours to paint a room.

5.    If Nathan and Rachel painted the room together, it would take them 4 hours and 33 minutes.

6.    Sierra would be able to paint a room 2 hours and 7 minutes faster if Danielle helped.

7.    Madison needs more than six hours to paint a room.

8.    Brianna is not the one who takes thirteen hours to paint a room.

9.    Madison would be able to paint a room 4 hours and 46 minutes faster if Brianna helped.

10.    Rachel would be able to paint a room 2 hours and 27 minutes faster if Nathan helped.

11.    Danielle is not the one who takes six hours to paint a room.

12.    Brianna needs more than seven hours to paint a room.

13.    Sierra is not the one who takes nine hours to paint a room.

Paint a Room 6