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Banking Sample Paper SBI Clerk Grade (Main) Sample Test Paper-3

  • question_answer
    A is 80% more efficient than B. If they work together they can complete the same piece of work in\[19\frac{2}{7}\]days, in how many days can B working alone finish the same piece of work?

    A)  45

    B)  48

    C)  54

    D)  57

    E)  63

    Correct Answer: C

    Solution :

     A is 80% more efficient then B. \[\therefore \]Ratio of time taken by A and B= 100 : 180=5 : 9 \[\therefore \,\frac{1}{5x}+\frac{1}{9x}=\frac{1}{19\frac{2}{7}}\] \[\Rightarrow \,\frac{9+5}{45x}=\frac{7}{135}\] \[\Rightarrow \,\frac{14}{45x}=\frac{7}{135}\] \[=\frac{2}{x}=\frac{1}{3}\Rightarrow x=6\] \[\therefore \] Time taken by B \[=9x=9\times 6\] =54 days                                 


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