11th Class Mental Ability Arithmetic Question Bank Question - Arithmetic

  • question_answer
    A can do a piece of work in 4 hours. A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. In how many hours B can complete the work?

    A) 10 hours

    B) 12 hours

    C) 16 hours

    D) 18 hours

    E) None of these

    Correct Answer: B

    Solution :

    Explanation Option (b) is correct. Work done by A in 1 hour \[=\frac{1}{4}\] Work done by B and C in 1 hour \[=\frac{1}{3}\] Work done by A and C in 1 hour \[=\frac{1}{2}\] Work done by A, B and C in hour \[=\left( \frac{1}{4} \right)+\left( \frac{1}{3} \right)=\frac{7}{12}\] Work done by B in 1 hour \[=\left( \frac{7}{12} \right)-\left( \frac{1}{2} \right)=\frac{1}{12}\] \[\Rightarrow \]B alone can complete the work in 12 hour


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