SSC Sample Paper SSC CGL - Sample Paper-17

  • question_answer
    While working 7 h a day, A alone can complete a piece of work in 6 days and B alone in 8 days. In what time would they complete it together, working 8 h a day?

    A) 3 days

    B) 4 days

    C) 2.5 days                       

    D) 3.6 days

    Correct Answer: A

    Solution :

    A alone can complete the work in 42 days working 1 h daily. Similary, B will taken 56 days working 1 h daily. A's 1 day's work \[=\frac{1}{42}\] B's 1 day's work \[=\frac{1}{56}\] (A + B)?s 1 day's work             \[=\frac{1}{42}+\frac{1}{56}=\frac{4+3}{168}=\frac{7}{168}\] \[\therefore \] Time taken by (A + B) working 8 h daily \[=\frac{168}{7\times 8}=3\,\text{days}\]                 


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