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

    Question

    Pipe A and pipe B can fill the empty tank in 18 hours and

    30 hours respectively, whereas pipe C can empty the full tank in ‘x’ hours. Find the value of ‘x’ if pipes A, B and C together can fill the empty tank in 12 hours.
    A 60 hours Correct Answer Incorrect Answer
    B 90 hours Correct Answer Incorrect Answer
    C 150 hours Correct Answer Incorrect Answer
    D 180 hours Correct Answer Incorrect Answer
    E 210 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank = 180 liters (LCM of 18, 30, and 12)
    Amount of water filled by pipe A in one hour = 180 ÷ 18 = 10 liters
    Amount of water filled by pipe B in one hour = 180 ÷ 30 = 6 liters
    Amount of water filled by pipes A, B and C together in one hour = 180 ÷ 12 = 15 liters
    Amount of water taken by pipe C alone in one hour = 10 + 6 – 15 = 1 liter
    Time taken by pipe C alone to empty the tank = 180 ÷ 1 = 180 hours

    Practice Next
    More Pipes and cisterns Questions

    Relevant for Exams:

    ask-question