SSC Sample Paper SSC (Group-C) Sample Test Paper-9

  • question_answer
    Dhiru can dig \[\frac{1}{a}\] of a field in 20 hours. What fraction of the same field can Kaku dig in 20 hours if the two of them can dig the field in 60 hours, working together at their respective rates?

    A)              \[\frac{(a-3)}{a}\]                 

    B)  \[\frac{1}{3a}\]

    C)              \[\frac{3a}{(a-3)}\]   

    D)       \[\frac{(a-3)}{3a}\]

    Correct Answer: D

    Solution :

     \[\because \] Dhiru digs \[\frac{1}{a}\] part of field in 20 hours. \[\therefore \]  Dhiru digs 1 part of field in 20a hours. Part of field dug by Kaku in 1 hour \[=\frac{1}{60}-\frac{1}{20a}=\frac{a-3}{60a}\] \[\therefore \]  Part of field dug by Kaku in 20 hours \[=\frac{20(a-3)}{60a}=\frac{a-3}{3a}\]


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