SSC Sample Paper SSC CGL - Sample Paper-11

  • question_answer
    A and B can do a work in 12 days. B and C in 15 days. C and A in 20 days. If A, B and C work together, they will complete the work in

    A) 5 days              

    B) \[7\frac{5}{6}\]days

    C) 10 days

    D) \[15\frac{2}{3}\] days

    Correct Answer: C

    Solution :

    According to question, A and B can do a work in 12 days \[\therefore \] (A + B)?s one days's work \[=\frac{1}{12}\] Similarly, (B + C)?s one day's work \[=\frac{1}{15}\] And (C + A)?s one day's work \[=\frac{1}{20}\]  \[\therefore \]  (A + B + C)?s one day's work             \[=\frac{1}{12}+\frac{1}{15}+\frac{1}{20}=\frac{10+8+6}{120}=\frac{1}{5}\] (A + B + C)?s one day's work \[=\frac{1}{10}\] \[\therefore \] A, B and C together can finish the whole work in 10 days.        


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