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Inlets A and B fill a tank in 12 and 15 hours, and outlet C empties it in 20 hours. All three are opened on the empty tank; after 3 hours A is closed, and after another 2 hours C is closed. How much longer does B take to fill the tank?

Competition practicePipes & Cisterns
  • A10 h
  • B15 h
  • C8 h
  • D12 h

Step-by-Step Solution

In 60ths: A 5, B 4, C −3 per hour. 3 h all: 18. 2 h B + C: 2. B fills the last 40 at 4/h in 10 h. (15 h is the total after A closes.)
Answer: A) 10 h

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