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      Question

      A tank is normally illed in 8 hours but takes another 2

      hours longer to ill because of a leak in its bottom. If the tank is full, the leak will empty it in how many hours?
      A 16 hours Correct Answer Incorrect Answer
      B 20 hours Correct Answer Incorrect Answer
      C 24 hours Correct Answer Incorrect Answer
      D 40 hours Correct Answer Incorrect Answer

      Solution

      Time taken to fill the tank with the leak = 8 + 2 = 10 hours Let the capacity of the tank be 40 units Efficiency of filling without leak = 40/8 = 5 units/hour Efficiency of filling with leak = (40/10) = 4 units/hour Efficiency of leak = 5 – 4 = 1 unit/hour Required time taken = (40/1) = 40 hours

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