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Railways Sample Paper RRB (Group D) Sample Test Paper-3

  • question_answer
    P is four times as efficient as Q.P can complete a work in 45 days less than Q. If both of them work together, then in how many days the work will be completed?

    A)  10                   

    B)  12

    C)  15                   

    D)  30

    Correct Answer: B

    Solution :

    [b]  according to question If P can complete a work in 1 day, Q can complete the same work in 4 days. Hence, if the difference is 3 days, Q can complete the work in 4 days \[\Rightarrow \] If the difference is 45 days, Q can complete the work in 60 days \[\therefore \]Q's 1 day's work \[=\frac{1}{60}\] \[\therefore \] P's 1 day's work \[=4\times \frac{1}{60}=\frac{1}{15}\] \[\therefore \] (P + Q)'s 1 day's work \[=\left( \frac{1}{15}+\frac{1}{60} \right)=\frac{(4+1)}{60}=\frac{5}{60}=\frac{1}{12}\] \[\therefore \]P and Q together can do work in 12 days.


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