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SSC Sample Paper SSC CGL - Sample Paper-14

  • question_answer
    A and B can separately complete a piece of work in 20 days and 30 days respectively. They worked together for some time, then B left the work. If A completed the rest of the work in 10 days, then B worked for

    A) 6 days

    B) 8 days

    C) 12 days            

    D) 16 days

    Correct Answer: A

    Solution :

    Let A and B worked together for x days According to the question, Part of work done by A for (x +10) days + part of work done by B for x days = 1 \[\Rightarrow \]   \[\frac{x+10}{20}+\frac{x}{30}=1\] \[\Rightarrow \]   \[\frac{3x+30+2x}{60}=1\] \[\Rightarrow \]   \[5x+30=1\] \[\Rightarrow \]   \[5x=30\] \[\Rightarrow \]   \[x=\frac{30}{5}=6\,\,\text{days}\]                   


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