📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      Pipe ‘A’ can fill a tank in 30 hours whereas leak

      ‘A’ can empty it in 40 hours. If they both operate along with pipe ‘B’, then the given tank gets filled in 15 hours. How much time is needed to fill the given tank if pipe ‘B’ and leak ‘A’ work together?  
      A 37.5 hours Correct Answer Incorrect Answer
      B 60 hours Correct Answer Incorrect Answer
      C 30 hours Correct Answer Incorrect Answer
      D 22.5 hours Correct Answer Incorrect Answer
      E 16 hours Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank be 120 litres {LCM (30 and 40)} Efficiency of pipe ‘A’ = 120 ÷ 30 = 4 litres/hour Efficiency of leak ‘A’ = 120 ÷ 40 = 3 litres/hour Combined efficiency of pipe ‘A’ and leak ‘A’ = 4 – 3 = 1 litre/hour Combined efficiency of pipe ‘A’, ‘B’ and leak ‘A’ = 120 ÷ 15 = 8 units/hour Efficiency of pipe ‘B’ = 8 – 1 = 7 units/hour Time taken by pipe ‘B’ and leak ‘A’ to fill the tank = 120 ÷ (7 – 3) = 30 hours

      Practice Next
      More Pipes and cisterns Questions

      Relevant for Exams:

      ask-question