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      Question

      Pipe 'X' is capable of emptying a tank in 15 hours. When

      Pipe 'Y', which adds 2.4 liters of water per hour, is also used, it takes 25 hours to empty the tank. Determine the tank's total capacity.
      A 25 litres Correct Answer Incorrect Answer
      B 90 litres Correct Answer Incorrect Answer
      C 55 litres Correct Answer Incorrect Answer
      D 75 litres Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, We can say that time taken by pipe ‘Y’ to fill the tank = ‘h’ hours Then, capacity of tank = 2.4h units Therefore, Efficiency of pipe ‘X’ = 2.4h/15 = 0.16h units/hr Efficiency of pipes (X + Y) = 2.4h/25 = 0.096h units/hour Therefore, efficiency of pipe ‘Y’ = -0.096h – (-0.16h) = 0.064h units/hour So, 0.064h = 2.4 h = 37.5 Total capacity of the tank = 37.5 × 2.4 = 90 litres

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