📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    ⚡ Month End Offer - Flat 52% Off On All Courses! Enroll Now ⚡
    00:00:00 AM Left

    Question

    Pipe ‘A’ can fill a tank in 15 hours whereas leak

    ‘A’ can empty it in 45 hours. If they both operate along with pipe ‘B’, then the given tank gets filled in 9 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

    Solution

    Let the capacity of the tank be 45 litres {LCM (15 and 45)} Efficiency of pipe ‘A’ = 45 ÷ 15 = 3 litres/hour Efficiency of leak ‘A’ = 45 ÷ 45 = 1 litres/hour Combined efficiency of pipe ‘A’ and leak ‘A’ = 3 – 1 = 2 litre/hour Combined efficiency of pipe ‘A’, ‘B’ and leak ‘A’ = 45 ÷ 9 = 5 units/hour Efficiency of pipe ‘B’ = 5 – 2 = 3 units/hour Time taken by pipe ‘B’ and leak ‘A’ to fill the tank = 45 ÷ (3 – 1) = 22.5 hours

    Practice Next
    More Pipes and cisterns Questions

    Relevant for Exams:

    ask-question