Time and Work

The unitary method is a method or technique in an algebra for solving a class of problems in variation.Time and work are also related to the unitary method. Here, we calculate the part of a work in unit time and also calculate the time taken to do a work.

• Work from Days:
  If A can do a piece of work in n days, then A's 1 day's work =\(\frac{1}{n}\)
  
  
• Days from Work:
  If A's 1 day's work = \(\frac{1}{n}\),then A can finish the work in n days.
  
  
• Ratio:
  If A is thrice as good workman as B, then:
  The ratio of work done by A and B = 3: 1.
  The ratio of times taken by A and B to finish a work = 1: 3.
  

  

  
  
  
• No. of days = total work / work done in 1 day
  
  
• Relationship between Men and Work
  More men —can do → More work
  Less men —can do →Less work
  
  
• Relationship between Work and Time
  More work —takes →More Time
  Less work —takes →Less Time
  
  
• Relationship between Men and Time
  More men —can do in →Less Time
  Less men —can do in →More Time