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

  • question_answer
      A and B working separately can do a piece of work in 9 days and 15 days respectively. If they work for a day alternately, with A beginning, the work will be completed in

    A) 10 days

    B) 11 days

    C) 9 days

    D) 12 days

    Correct Answer: B

    Solution :

    [b] (A+B)'s first 2 days work \[=\frac{1}{9}+\frac{1}{15}=\frac{5+3}{45}=\frac{8}{45}\] (A+B)'s 10 days work\[=\frac{8\times 5}{45}=\frac{40}{45}\] Remaining work\[=1-\frac{40}{45}=\frac{1}{9}\] So, the work will be completed by \[10+1=11\]days


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