8th Class Mathematics Direct and Inverse Proportions Question Bank Direct & Inverse Proportional (Time & Work)

  • question_answer
    A can do a certain job in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job?

    A)  \[9\,\,{\scriptstyle{}^{1}/{}_{2}}\]days            

    B)  \[8\,\,{\scriptstyle{}^{1}/{}_{2}}\] days        

    C)  \[7\,\,{\scriptstyle{}^{1}/{}_{2}}\] days  

    D)  \[11\,\,{\scriptstyle{}^{1}/{}_{2}}\] days

    Correct Answer: C

    Solution :

    (c): A \[\to \] 1 day \[\Rightarrow \] 12 days A \[\to \]1 work \[\Rightarrow \frac{1}{12}\] work. B in 60% more efficient. \[\Rightarrow B\to 1\,day\Rightarrow \frac{1\times 1.6}{12}\]work. \[\Rightarrow \frac{4}{30}\]work. \[\therefore B\to \,work\Rightarrow \frac{30}{4}day=7\frac{1}{2}\]days.


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