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      Question

      A tank can be filled by a pipe in 24 minutes. There is also

      a leak that can empty the full tank in 40 minutes. Determine the time to fill half the tank when both are working together.
      A 54 mins Correct Answer Incorrect Answer
      B 35 mins Correct Answer Incorrect Answer
      C 30 mins Correct Answer Incorrect Answer
      D 45 mins Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total tank capacity be 120 litres (LCM of 24 and 40)

      Efficiency of filling pipe = 120 Γ· 24 = 5 litres/minute

      Efficiency of leak = 120 Γ· 40 = -3 litres/minute

      Required time = (0.5 Γ— 120) Γ· (5 - 3) = 30 minutes

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