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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-3

  • question_answer
    Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked \[\frac{1}{3}\] as efficiently as he actually did, the work would have been completed in 3 days. A alone could complete the work in

    A)  \[5\frac{1}{4}days\]

    B)  \[6\frac{1}{4}days\]

    C)   \[7\frac{1}{2}\,\,days\]

    D)  None of these

    Correct Answer: B

    Solution :

    [b] Let A’s 1 days work = x and B’s 1 day’s work = y.
    Then,    \[x+y=\frac{1}{5}\]
    and       \[2x+\frac{1}{3}y=\frac{1}{3}\]
    On solving, we get
    \[x=\frac{4}{25}\] and \[y=\frac{1}{25}\]
    A's 1 day's work \[=\frac{4}{25}\]
    So, A alone could complete the work in \[\frac{25}{4}\,\,or\,\,6\frac{1}{4}\,\,days\]


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