Radhika,sanya and devika can do a piece of work in 36,48 and 72 days respectively. They work alternativey,First day-Radhika,second day-Sanya,Third day-Devika,Fourth day-Radhika and so on.How many days will be needed to complete the work like this way?

(a)48 days
(b)36 days
(c)45 days
(d)None of these

• a)48 days
  
  Radhika's 1 days work = 1/36
  Sanya's one days work = 1/48
  Devika's one days work = 1/72
  
  So in 3 days fraction of work done = 1/36+1/48+1/72
  = 1/16
  
  1/16 part of work is completed in 3 days
  Total number of days required to complete the work = 16*3 = 48 days
  
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