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Banking Sample Paper RRB Assistant (PT) Sample Test Paper-1

  • question_answer
    Two pipes A and B can 1111 a lank with water in 30 minutes and 45 minutes respectively. The third Pipe C can empty the tank in 27 minutes. First A and B are opened and after 12 minutes C is opened. The total time (in minutes) in which the tank will be filled up is

    A)  22

    B)  24

    C)  30

    D)  26

    E)  18

    Correct Answer: C

    Solution :

    LCM of 30, 45 and 27 = 270 Let capacity of tank = 270 units Pipe A can fill \[\frac{270}{30}=9\]units/min Pipe B can fill \[\frac{270}{45}=6\] units/min Pipe C can empty \[\frac{270}{27}=10\] units/min Now, Pipe (A + B) can fill in 12 minutes \[=(9+6)\times 12=15\times 12=180\]units \[\therefore \]Remaining units = 270 - 180 = 90 Now, 90 units filled by (A + B - C) in\[\frac{90}{(9+6-10)}=\frac{90}{5}=18\]minutes \[\therefore \]Total time = 12 + 18 = 30 minutes


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