ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    Two inlet pipes P and Q are used to fill a tank. Pipe P

    fills 25 liters in 5 hours and pipe Q fills 60 liters in 5 hours. Pipe P is kept open for 2 hours and then closed, and pipe Q is opened for the next 1 hour. This process is repeated. If the total capacity of the tank is 264 liters, then find the total time taken to fill the tank.
    A 24 hrs Correct Answer Incorrect Answer
    B 36 hrs Correct Answer Incorrect Answer
    C 18 hrs Correct Answer Incorrect Answer
    D 20 hrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, P fills 25 liters in 5 hours тЗТ PтАЩs efficiency = 25/5 = 5 liters/hour Q fills 60 liters in 5 hours тЗТ QтАЩs efficiency = 60/5 = 12 liters/hour Working pattern (per 3 hours): тАв First 2 hours: P alone тЖТ 5 ├Ч 2 = 10 liters тАв Next 1 hour: Q alone тЖТ 12 ├Ч 1 = 12 liters Total filled in 3 hours = 10 + 12 = 22 liters Tank capacity = 264 liters Number of 3-hour cycles required = 264 ├╖ 22 = 12 Total time taken = 12 ├Ч 3 = 36 hours

    Practice Next
    More Pipes and cisterns Questions
    ask-question