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Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both pipes are opened simultaneously, how long will it take to fill the tank?

  • A.10 min
  • B.12 min
  • C.15 min
  • D.25 min

Answer: B

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

\[ \frac{1}{20} + \frac{1}{30} = \frac{3 + 2}{60} = \frac{1}{12} \]

\[ t = 12 \text{ minutes} \]

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