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


    Question

    Two taps can fill a tank in 18 hours and 24 hours,

    respectively. A waste pipe can empty the tank in 36 hours. If all three pipes are opened together, how much time will it take to fill the tank 75% of its capacity?
    A 10.8 hours Correct Answer Incorrect Answer
    B 12.5 hours Correct Answer Incorrect Answer
    C 15.8 hours Correct Answer Incorrect Answer
    D 21 hours Correct Answer Incorrect Answer
    E 24 hours Correct Answer Incorrect Answer

    Solution

    Rate of the first tap = 1/18 per hour Rate of the second tap = 1/24 per hour Rate of the waste pipe = -1/36 per hour Net rate = (1/18) + (1/24) - (1/36) LCM of 18, 24, and 36 = 72 Net rate = (4/72) + (3/72) - (2/72) = 5/72 Time to fill the tank fully = 1 Ă· (5/72) = 72/5 = 14.4 hours Time to fill 75% = 14.4 Ă— 0.75 = 10.8 hours Correct Option: a.

    Practice Next
    ask-question

    Not sure which exam is best for you Talk to our expert

    Get My Free Call