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

    Question

    Pipe ‘P’ and pipe ‘Q’ can fill a tank alone in

    24 hours and 48 hours, respectively. If both pipes are opened together and pipe ‘P’ is closed after 8 hours, then find the time taken by pipe ‘Q’ to fill the remaining portion alone.
    A 16 hours Correct Answer Incorrect Answer
    B 20 hours Correct Answer Incorrect Answer
    C 12 hours Correct Answer Incorrect Answer
    D 24 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank be 48 units (LCM of 24 and 48) Efficiency of pipe ‘P’ = 48 ÷ 24 = 2 unit/hour
    Efficiency of pipe ‘Q’ = 48 ÷ 48 = 1 unit/hour Let pipe ‘Q’ fill the remaining portion in x hours. ATQ, 8 × (2 + 1) + 1x = 48 Or, 24 + x = 48 Or, x = 24 Therefore, required time taken = 24 hours

    Practice Next
    More Pipes and cisterns Questions
    ask-question