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Discussion :: Time and Work

  1. A contractor undertakes to complete the job in 38 days. He assigns 30 workers on the job, and after 25 days he assigns 5 more workers and finishes the work one day before the given time. If he did not assign extra numbers of workers then work will be late by how many days.
  2. A.
    1 day
    B.
    2 days
    C.
    5 days
    D.
    1.5 days

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    Workspace

    Answer : Option A

    Explanation :

    ATQ, target = work should be finished in 38 days

    Now, after assigning more workers, the work is finished in 37 days.

    Note: man * days = total work

    As per the given information,
    Total work = (30 Men * 25 days) + (35 men * 12 days) = 30*25 + 35*12
    Or, total work = 750 + 420 = 1170

    Note: 1 worker = 1 unit work per day

    So, if work is done by 30 workers, i.e., 30 units of work per day
    The number of days required = total work/ work per day
                                    = 1170/30= 39 days

    Target with 30 workers = 38, but it will take 39 days
    So, work will be late by 1 day.


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