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Discussion :: Time and Work

  1. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

    2. A.

    9\(\frac { 1 } {5} \)days
    B.

    9\(\frac { 2} {5} \)days
    C.

    9\(\frac {3} {5} \)days
    D.

    10

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    Workspace

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    Answer : Option C

    Explanation :

    (A + B + C)'s 1 day's work =\(\frac {1} {4} \)

     

    A's 1 day's work =\(\frac {1} {16} \)

     

    B's 1 day's work =\(\frac {1} {12} \)

     

    Therefore C's 1 day's work =\(\frac {1} {4} \)-[\(\frac {1} {16} \)+\(\frac {1} {12} \)]=[\(\frac {1} {4} \)-\(\frac {7} {48} \)]=\(\frac {5} {48} \)

     

    So, C alone can do the work in\(\frac {48} {5} \)=9\(\frac {3} {5} \)days

Mallikarjun potadar said : (Jan 17, 2022)

How you get 48/5

BHAVANI said : (Jan 20, 2022)

how we put 48/5?

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