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A tap alone fills a cistern in 8 hours, but a crack at the bottom means it now takes 10 hours. How long, in hours, would the crack alone take to drain the full cistern?

Competition practiceTime & Work / Pipes
  • A40
  • B18
  • C20
  • D80

Step-by-Step Solution

Crack rate = 1/8 - 1/10 = (5 - 4)/40 = 1/40 cistern per hour, so it drains the cistern in 40 hours.
Answer: A) 40

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