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

  • question_answer
    A, B and C can do a work separately in 16, 32 and 48 days, respectively. They started the work together but B leaving of 8 days and C 6 days before the completion of the work. In what time is the work finished?

    A) 10 days

    B) 12 days

    C) 14 days

    D) 9 days

    Correct Answer: B

    Solution :

    [b] Let the work be complete in x days. Then, according to the question, \[\frac{x}{16}+\frac{x-8}{32}+\frac{x-6}{{}}48=1\] \[\Rightarrow \]   \[\frac{6x}{96}+\frac{3(x-8)}{96}+\frac{2(x-6)}{96}=1\] \[\Rightarrow \]   \[6x+3x-24+2x-12=96\] \[\Rightarrow \]   \[11x-396\]\[\Rightarrow \]\[x=\frac{96+36}{11}\] \[\therefore \]      \[x=\frac{132}{11}=12\,\text{days}\]


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