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Let the capacity of the cistern be x liters. Leak empties x liters in 12 hours: Rate = x/12 liters/hour Tap fills at 15 liters/hour. Net rate = (x/12 - 15) liters/hour Time to empty = x / (x/12 - 15) = 20 hours 1 / (1/12 - 15/x) = 20 1/12 - 15/x = 1/20 Solve: x = 450 liters Correct answer: c) 450 liters
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