Q:
      
      
         
            
A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 20 days and C alone in 60 days ,then B alone could do it in:
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: D) 60 days         
         
Explanation: (A+B)'s 1 day's work=1/20 
C's 1 day work=1/60 
(A+B+C)'s 1 day's work= 1/20 + 1/60 = 1/15
 
Also A's 1 day's work =(B+C)'s 1 day's work 
Therefore,  we get: 2 x (A's 1 day 's work)=1/15 
=>A's 1 day's work=1/30 
 
Therefore, B's 1 day's work= 1/20 - 1/30 = 1/60
So, B alone could do the work in 60 days.
       
      
      
      
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