πŸ“’ Too many exams? Don’t know which one suits you best? Book Your Free Expert πŸ‘‰ call Now!


    Question

    Pipe β€˜P’ and pipe β€˜Q’ together can fill an empty

    tank in 18 hours while pipe β€˜Q’ and pipe β€˜R’ together take 12 hours to fill the same tank. If the efficiency of pipe β€˜R’ is twice that of pipe β€˜P’, then find the time taken by pipe β€˜Q’ to fill the tank alone.
    A 60 hrs Correct Answer Incorrect Answer
    B 36 hrs Correct Answer Incorrect Answer
    C 75 hrs Correct Answer Incorrect Answer
    D 45 hrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total capacity of the tank = 72 units Efficiency of pipes (P + Q) = 72/18 = 4 units/hour Efficiency of pipes (Q + R) = 72/12 = 6 units/hour Let the efficiency of pipe β€˜P’ = x units/hour Therefore, efficiency of pipe β€˜R’ = 2x units/hour Therefore, 2x – x = 6 – 4 Or, x = 2 Therefore, efficiency of pipe β€˜Q’ = 4 – 2 = 2 units/hour Time taken by pipe β€˜Q’ to fill the tank alone = 72/2 = 36 hours

    Practice Next

    Relevant for Exams:

    ask-question