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Tom and Eloise can paint the fence in 8 hours. Eloise and Samuel, working together, can paint the dame fence in no more than 6 hours. Tom and Samuel, together, can paint the same fence in no less than 12 hours. What is the least amount of time in which Tom can paint the fence alone?

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francocanacari

Tom can paint the fence alone in 24 hours.

Since Tom and Eloise can paint the fence in 8 hours, and Eloise and Samuel, working together, can paint the same fence in no more than 6 hours, while Tom and Samuel, together, can paint the same fence in no less than 12 hours, to determine what is the least amount of time in which Tom can paint the fence alone, the following calculation must be performed:

  • T + E = 8
  • E + S = 6
  • T + S = 12
  • T + S - E + S = 12 - 6
  • T - E = 6
  • T = 6
  • S = 6
  • E = 2
  • 6 x 4 = 24

Therefore, Tom can paint the fence alone in 24 hours.

Learn more about maths in https://brainly.com/question/25851847

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