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SSC Quantitative Aptitude Time And Work Question Bank Work and Time (II)

  • question_answer
    A and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest work in 14 days. A alone can complete the work in.......

    A) 24 days

    B) 22 days

    C) 20 days

    D) 18 days

    Correct Answer: A

    Solution :

    [a] 1 day work of\[A+B=\frac{1}{12}\] \[\therefore \]5 days work of \[A+B=\frac{1}{12}\times 5=\frac{5}{12}\] Now, time taken by A to do\[\frac{7}{12}\] work =14 days \[\therefore \]Time taken by A to do 1 work \[=\frac{14}{\frac{7}{12}}=\frac{14\times 12}{7}=24\,\text{days}\] Hence, A alone can complete the work in 24 days.


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