Railways R.R.C. (Jabalpur) Solved Paper Held on 1st Shift 30-11-2014

  • question_answer 14) A and B can do a piece of work in 10 days. B and C can do it in 12 days. A and C can do it in 15 days. How long will A take to do it alone?

    A) 24 days            

    B) 40 days

    C) 30 days            

    D) 20 days

    Correct Answer: A

    Solution :

    Work done by A, B and C together in 1 day \[=\left[ \frac{1}{10}+\frac{1}{12}+\frac{1}{15} \right]\] \[=\frac{1}{8}\] Now, work done by A alone in 1 day \[=\frac{1}{8}-\frac{1}{12}\] \[=\frac{1}{24}\] Hence, A will take to do it alone m 24 days.

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