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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-15

  • question_answer
    A, B and C can do some work in 12 days, 15 days and 20 days respectively. They started to do the work jointly, but C left the work after 2 days. In how many days will the rest part of the work be completed?

    A)  6 days 

    B)  5 days

    C)  4 days 

    D)  7 days

    Correct Answer: C

    Solution :

    \[\left( A+B+C \right)'\]s two day?s work \[=2\times \left( \frac{1}{12}+\frac{1}{15}+\frac{1}{20} \right)\] \[=2\times \left( \frac{5+4+3}{60} \right)=\frac{24}{60}=\frac{2}{5}\] \[\therefore \]After two days, remaining work\[=1-\frac{24}{60}=\frac{2}{5}\] \[\left( A+B \right)'\]s 1 day work \[=\frac{1}{12}+\frac{1}{15}=\frac{5+4}{60}=\frac{9}{60}=\frac{3}{20}\]part \[\because \frac{3}{20}\]part complete in = 1 day \[\therefore \frac{3}{5}\]part complete in \[=1\times \frac{20}{3}\times \frac{3}{5}=4\]days


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