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Two inlet pipes A and B can fill a tank in 18 hours and 24 hours, respectively, while an outlet pipe C can empty the full tank in X hours. Initially, all three pipes are opened together. After 8…

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Two inlet pipes A and B can fill a tank in 18 hours and 24 hours, respectively, while an outlet pipe C can empty the full tank in X hours. Initially, all three pipes are opened together. After 8 hours, pipe B is closed, and another 6 hours later, pipe C is also closed. The remaining portion of the tank is then filled by pipe A alone. If the tank gets completely filled in a total of 16 hours, find the value of X.
  1. 45
  2. 36
  3. 63
  4. 54

Answer and explanation

Correct answer: C - 63
A runs 16 h, B 8 h and C 14 h: 16/18 + 8/24 - 14/X = 1, so 8/9 + 1/3 - 1 = 2/9 = 14/X and X = 63.

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