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SSC MTS 2019 · PYQ · Pipes and Cisterns · medium

Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 8 hours. Pipe A, B and C together can fill the same tank in 12 hours. Then which of the following statements is true for Pipe C?

  1. A.It can fill the tank in 4 hours 48 minutes
  2. B.It can empty the tank in 4 hours 40 minutes
  3. C.It can fill the tank in 4 hours 40 minutes
  4. D.It can empty tank in 4 hours 48 minutes✓ Correct

Explanation

LCM of 6, 8, 12 = 24. Efficiency: A=4, B=3, A+B+C=2. So C = 2–4–3 = –5 (negative means it empties). C empties the tank in 24/5 = 4 hours 48 minutes.
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