A is 40 % more efficient than B and B is 20 % less efficient than C. If A takes 6 days less than C to complete a work, then in how many days will B complete
this work ?

• 70 days
  
  When C completes 100 units, B completes 80 units and A finishes 80*(140/100)=112 units.
  So ratio of work of A, B & C = 112 : 80 : 100 = 28 : 20 : 25
  Therefore ratio of time = 1/28 : 1/20 : 1/25 = 25/700 : 35/700 : 28/700 = 25 : 35 : 28
  Let they takes 25x, 35x & 28x days to complete the work, then 28x - 25x = 6
  => 3x = 6 or x=2
  Thus A, B & C takes 50, 70 & 56 days respectively.
  So answer is 70 days.
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