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SSC Sample Paper Mock Test-16 SSC CGL Tear-II Paper-1

  • question_answer
    A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?

    A) 6 days

    B)  12 days

    C)  4 days

    D)  8 days

    Correct Answer: A

    Solution :

    A's one day's work \[=\frac{1}{12}\] A's three day's work \[=\frac{3}{12}=\frac{1}{4}\] Remaining work \[=1-\frac{1}{4}=\frac{3}{4}\] \[\because \] (A + B) complete the \[\frac{3}{4}\text{th}\] work in 3 days. \[\therefore \] (A + B) complete the work in \[3\times \frac{4}{3}=4\,\,\text{days}\] \[\therefore \] B?s one day s work \[=\frac{1}{4}-\frac{1}{12}=\frac{3-1}{12}=\frac{2}{12}=\frac{1}{6}\] Hence, B can complete the work in 6 days.


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