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A tap can fill a cistern in 8 hours and another can empty it in 16 hours. If both are opened together, the time (in hours) to fill the tank is:

  • A.8
  • B.10
  • C.16
  • D.24

Answer: C

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

\[ \frac{1}{8} - \frac{1}{16} = \frac{2 - 1}{16} = \frac{1}{16} \]

\[ t = 16 \text{ hours} \]

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