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Discussion :: Chain Rule

  1. A contract is to be finished in 46 days and 117 men involved in it, each working 8 hours per day. After 33 days, 4/7 of the work is finished, how many additional men may be employed so that it may be completed in time, each man now working 9 hours a day?

  2. A.
    85
    B.
    196
    C.
    81
    D.
    123

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    Answer : Option C

    Explanation :

    Remaining work after 33 days

    Remaining period = 46-33 = 13 days
    Now, we have
    Less work, less man (directly proportion)
    Less days, more men (inverse proportion)
    More hours/days, less man (inverse proportion)

    Now, we can say that work

    Therefore, days = 13: 33
    And, hours/day = 9: 8

    Therefore,

    Where, x is total number of men after 33 days.

    Therefore, extra men to be employed = 198 - 117 = 81.


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