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Railways Sample Paper RRB (Assistant Loco Pilot & Technician) Sample Test Paper-1

  • question_answer
    A and B can do a piece of work in 84 days; B and C can do it in 140 days; A and C can do it in 105 days. In what time can A alone do it?

    A)  120 days                     

    B)  140 days

    C)  150 days           

    D)       160 days

    Correct Answer: B

    Solution :

     \[(A+B)'s\] 1 day's work \[=\frac{1}{84};(B+C)'s\] 1 day's work \[=\frac{1}{140};(A+C)'s\] 1 day's Work \[=\frac{1}{105}\] Adding, we get: 2(A+ B + C)'s 1 day's work \[=\frac{1}{84}+\frac{1}{140}+\frac{1}{105}=\frac{12}{420}=\frac{1}{35}\]  \[(A+B+C)'s\] 1 day?s work \[=\frac{1}{70}\] So, A?s 1 day?s work \[=\frac{1}{70}-\frac{1}{140}=\frac{1}{140}\] A alone can do that work in 140 days.


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