SOLUTION: Working together, Larry, Moe, and Curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes or Moe 6 minutes to paint the elephant. How long would i

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, Larry, Moe, and Curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes or Moe 6 minutes to paint the elephant. How long would i      Log On

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 Question 392266: Working together, Larry, Moe, and Curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes or Moe 6 minutes to paint the elephant. How long would it take Curly to paint the elephant if heworked alone?Found 2 solutions by Alan3354, ewatrrr:Answer by Alan3354(34677)   (Show Source): You can put this solution on YOUR website!Working together, Larry, Moe, and Curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes or Moe 6 minutes to paint the elephant. How long would it take Curly to paint the elephant if heworked alone? ------------------ Larry paints 1/10 of the elephant per minute. Moe paints 1/6 per minute. Curly paints 1/x per minute, we don't know yet. Together, they paint 1/3 per minute. ------------ 1/10 + 1/6 + 1/x = 1/3 Multiply by 30 3 + 5 + 30/x = 10 30/x = 2 x = 15 It would take Curly 15 minutes. Answer by ewatrrr(11176)   (Show Source): You can put this solution on YOUR website! ``` Hi Let x represent curly's solo time in minutes 1/10 + 1/6 + 1/x = 1/3 |per minute being the equalizer 6x + 10x + 60 = 20x |mulitply each term by 60x so as all denominators = 1 60 = 4x x = 15min, curly's solo time in minutes ```