If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take to complete the work if both of them worked together?

• let the total time taken by both A and B = t
  so, A & B one day work will be= 1/t
  
  when A work alone complete the work in = (t+4)days
  A one day work will be= 1/(t+4)
  
  when B work alone complete the work in = (t+16)days
  B one day work will be= 1/(t+16)
  
  Equation will be: 1/(t+4) +1/(t+16) =1/t
  
  t (t+16) + t (t+4) = (t+4) (t+16)
  after solving this equation t = 8 days.
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