Saturday, February 12, 2011

Job Completion Date

It takes 16 days for 48 women to complete a job that requires 16 men to complete in 24 days. 12 men initiated the work and after 14 days, 12 women joined them. How many days will they together take to complete the job?

2 comments:

  1. Total work = Number of men * Number of days = Number of women * Number of days.
    Or,
    16 men * 24 days = 48 women * 16 days.
    Therefore,

    48 women = (16 * 24) / 16 = 24 men;
    or 1 man is as efficient as 2 women ------(1).

    Now, 12 men work for 14 days.
    The remaining work, (16 * 24) - (12 * 14) = 216 man-day.

    Since 12 women, that are equivalent to 6 men join the 12 men, effective strength = 12 + 6 = 18 men.

    Number of days to complete remaining 216 man-days of work = 216 / 18 = 12 days.

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  2. That is short cut I am still looking for the longer one

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