Q:
      
      
         
            
The ratio of efficiency of A is to C is 5:3. The ratio of number of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C started the work and left after 2 days. The number of days taken by A to finish the remaining work is:
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: C) 6         
         
Explanation:                        A   :   C    
 
Efficiency      5    :   3    
 
No of days   3x   :  5x     
 
Given that, 5x-6 =3x  => x = 3  
 
Number of days taken by A = 9  
 
Number of days taken by C = 15     
 
 
 
           B  :  C    
 
Days   2  :  3  
 
Therefore, Number of days taken by B = 10   
 
Work done by B and C in initial 2 days = = 1/3  
 
Thus,  Rest work =2/3  
 
Number of days required by A to finish 2/3 work = (2/3) x 9 = 6 days
       
      
      
      
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