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

  • question_answer
    A and B can do a piece of work in 30 days and 36 days, respectively. They began the work together but A leaves after some days and B finished the remaining work in 25 days. After how many days did A leave?

    A) 6 days

    B) 11 days

    C) 10 days

    D) 5 days

    Correct Answer: D

    Solution :

    [d] Let, A leaves the work after x days. Then, according to the question,\[\frac{x}{30}+\frac{x+25}{36}=1\] \[\Rightarrow \]   \[\frac{6x}{180}+\frac{5\,(x+25)}{180}=1\] \[\Rightarrow \]   \[6x+5x+125=180\] \[\Rightarrow \]   \[11x=180=125\]\[\Rightarrow \]\[11x=55\] \[\therefore \]      \[x=5\,\text{days}\]


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