. A group of labourers are building a villa. After half the villa has been built, double the number of labourers joins the original group. The villa is completed 8 days earlier. What is the total number of days needed to complete the wall by the initial group of men?

• Let 'x' men complete the wall in 'y' days.
  According to question, xy = 2x(y-8) [Equating rate of work]
  => y = 2y - 16
  => y = 16
  so, in 16 days the wall is completed by initial group of men.
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