Q:
      
      
         
            
Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ?
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: C) 6 days         
         
Explanation: From the given data,
12 children 16 days work,
One child’s one day work = 1/192.
8 adults 12 days work,
One adult’s one day’s work = 1/96.
 Work done in 3 days = ((1/96) x 16 x 3) = 1/2
 Remaining work = 1 – 1/2 = 1/2
 (6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12
1/12 work is done by them in 1 day.
1/2 work is done by them in 12 x (1/2) = 6 days.
       
      
      
      
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