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A can do a piece of work in 10 days and B can do it in 15 days. In how many days will they finish the work together?

  • A.5 days
  • B.6 days
  • C.8 days
  • D.12.5 days

Answer: B

Work in rates: someone who finishes a job in \( n \) days does \( \tfrac{1}{n} \) of it a day, and rates add.

\[ \frac{1}{10} + \frac{1}{15} = \frac{3 + 2}{30} = \frac{1}{6} \]

\[ t = 6 \text{ days} \]

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