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Pipes A, B and C can fill a tank in 30, 40 and 60 minutes. They are opened together on the empty tank, but A is closed after 6 minutes and B after a further 4 minutes. How much longer does C take to fill the tank?

Competition practicePipes & Cisterns
  • A33 min
  • B20 min
  • C26 min
  • D23 min

Step-by-Step Solution

In 120ths: A 4, B 3, C 2 per minute. 6 min all: 54. 4 min B + C: 20 (total 74). C fills the last 46 at 2/min in 23 min. (33 min is the total from the start.)
Answer: D) 23 min

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