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

  • A.12 min
  • B.15 min
  • C.18 min
  • D.25 min

Answer: A

Rates add when pipes work together:

\[ \frac{1}{20} + \frac{1}{30} = \frac{3 + 2}{60} = \frac{5}{60} = \frac{1}{12} \]

\[ \therefore\; \text{time} = 12 \text{ minutes} \]

The combined time must be shorter than either pipe alone, so anything of 20 minutes or more can be discarded before any arithmetic is done.

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