if 20 men or 24 women or 40 boys can do a job in 12 days working for 8hours a day.how many men working with 6 women and 2 boys take to do a job four times as big working 5 hours a day for 12 days?

• We have to think in terms of man-hours here.
  The number of man-hours required of 1 man to complete the first job = 4 * the number of hour required of one man to complete the new job
  
  hence we have,
  
  20men * 12days * 8hours = number of men required * 12days * 5hours * 4
  It yields
  number of men required = 8
  But there are 6 women and 2 boys working on the job.
  we can relate
  24 women = 20 men
  1 women = 20/24 men
  6 women = 5 men
  and
  40 boys = 20 man
  1 boy = 0.5 man
  2 boys = 1 man
  
  so, 6 women and 2 boys working on the job is equivalent to (5+1)men = 6 men
  
  Hence we need 8-6= 2 men to help 6 women and 2 boys out.
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