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SSC Sample Paper SSC CGL - Sample Paper-17

  • question_answer
    A and B working together, can do a piece of work in \[4\frac{1}{2}h.\]  B and C working together can do it in 3 h. C and A working together can do it in \[2\frac{1}{4}h.\] All of them begin the work at the same time. Find how much time they will take to finish the piece of work.

    A) 3 h                               

    B) 2 h

    C) 2.5 h                            

    D) 3.25 h

    Correct Answer: B

    Solution :

    (A + B)?s 1 h's work \[=\frac{2}{9}\]                                     ? (i) (B + C)?s 1 h's work \[=\frac{1}{3}\]                               ? (ii) (C + A)?s 1 h's work \[=\frac{4}{9}\]                   ? (iii) Adding all three Eqs., 2(A + B + C)?s 1 h's work             \[=\frac{2}{9}+\frac{1}{3}+\frac{4}{9}=\frac{2+3+4}{9}=1\] A, B and C together will complete the work in 2 h.


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