SOLUTION: one painter can paint a room in 12 hours and another can paint the same room in 10 hours. How long will it take to paint the room if they work together?

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Question 622324: one painter can paint a room in 12 hours and another can paint the same room in 10 hours. How long will it take to paint the room if they work together?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

one painter can paint a room in 12 hours and another can paint the same room in 10 hours. 

How long highlight%28x%29will it take to paint the room if they work together?

Work PER hour KEY

 1/12 + 1/10 = 1/x     |Multiplying thru by 60x so as all denominators = 1

  5x + 6x = 60 

     11x = 60

       x = 5.45 hrs (rounded to 2 decimal points)