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SSC Sample Paper Mock Test-1 SSC CGL Tear-II Paper-1

  • question_answer
    If A and B can do a work in 12 days, B and C in 15 days. While C and A in 20 days, how long would A alone take to do the work?

    A) 15 days            

    B)  20 days

    C)  25 days                       

    D)  30 days  

    Correct Answer: D

    Solution :

    Time taken to do by\[2\,\,(A+B+C)=\frac{xyz}{xy+yz+zx}\] Here\[x=12,\]\[y=15\]and\[z=20\] \[=\frac{12\times 15\times 20}{12\times 15+15\times 20+20\times 12}\]5 days Time taken to do work by (A+B+C)\[=2\times 5=10\]days \[\therefore \]Time taken to do work by A done\[=\frac{xy}{x-y}\] [Here x = time taken by (B + C) = 15 days and y = time taken by (A+ B+ C) = 10 days] \[=\frac{10\times 15}{15-10}=30\]days


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