2. Sample Papers
  3. Railways

Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-3

  • question_answer
    A can do a piece of work in 18 days. B in 27 days and C in 36 days. They start working together but only C work till the completion. A leaves 7 days and 8 leaves 8 days before the completion of work. The whole work was completed in

    A)  12 days

    B)         16 days

    C)  14 days           

    D)  11 days

    Correct Answer: C

    Solution :

    A?s 1 day?s work\[=\frac{1}{18}\] B?s 1 day?s work \[=\frac{1}{27}\] and       C?s 1 day?s work \[=\frac{1}{36}\] Suppose C worked for = x days \[\therefore \] A worked for \[(x-7)\]days and B worked for \[(x-8)\]days. According to the questions, \[\frac{x-7}{18}+\frac{x-8}{27}+\frac{x}{36}=1\] \[\Rightarrow \]\[\frac{6x-42+4x-32+3x}{108}=1\] \[\Rightarrow \]               \[\frac{13x-74}{108}=1\] \[\Rightarrow \]   \[13x=\,108+74\,=\,182\] \[\therefore \,\]                \[x=\frac{182}{13}=14\]


You need to login to perform this action.
You will be redirected in 3 sec spinner