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Each team shown finishes the same job in the number of days on its card. All men work at one rate and all boys at another. How many days would one man take to finish the job alone?

Class 10Work Rates with Two UnknownsAlgebra — Systems of Equations
  • A18 days
  • B36 days
  • C9 days
  • D12 days

Step-by-Step Solution

Let a man do and a boy of the job per day: and , i.e. . Solving, and , so a man alone takes 18 days.
Answer: A) 18 days

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