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Railways R.R.C. (Hazipur) Solved Paper Held on 1-12-2013

  • question_answer
    Three pipes A, B, C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is?

    A) 10                                

    B) 12

    C) 14                                

    D) 16                          

    Correct Answer: C

    Solution :

    Three pipes can fill a tank in 1 hour =\[\frac{1}{6}\] Then, After 2 hour. tank will fill\[=\frac{2}{6}=\frac{1}{3}\] Remaining part of tank \[=1-\frac{1}{3}=\frac{2}{3}\] Now, A and B can fill the \[\frac{2}{3}\]part in 7 hour then A and B will fill the tank in 1 hour\[=\frac{2}{3\times 7}=\frac{2}{21}\]part Hence, Pipe C will fill the tank in 1 hour \[=\frac{1}{6}-\frac{2}{21}\] \[=\frac{1}{14}part\] Now, Pipe C alone to fill the tank in 14 hours.


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