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Two inlets fill a tank in 12 and 18 hours, and an outlet empties it in 9 hours. The inlets are opened on the empty tank at 6 a.m., and the outlet at 10 a.m. When will the tank be full?

Competition practicePipes & Cisterns
  • A12 midnight
  • B4 a.m. next day
  • C2 a.m. next day
  • D1:12 p.m.

Step-by-Step Solution

In 36ths: inlets 3 + 2, outlet −4. 6–10 a.m.: . Then net 1 per hour; the last 16 take 16 h → 2 a.m. next day. (1:12 p.m. ignores the outlet.)
Answer: C) 2 a.m. next day

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