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Question 59. 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 10 days and C alone in 50 days, then B alone could do it in:


  1.   (d) 30 days
  2.    (b) 20 days

  3. (c) 25 days                              
  4. (a) 15 days                             


Solution

The correct option is C (c) 25 days                              
Answer 59.(c)
Explanation:
(A + B)'s 1 day's work = 1/10
    
C's 1 day's work = 1/10
    
(A + B + C)'s 1 day's work =(1/10 + 1/50)= 6/50    = 3/25    . .... (i)
                                        
A's 1 day's work = (B + C)'s 1 day's work .... (ii)
From (i) and (ii), we get: 2 x (A's 1 day's work) =    3/25
    
 A's 1 day's work = 3/50.
        
 B's 1 day's work 1/10 - 3/50    = 2/50    = 1/25    .
                    
So, B alone could do the work in 25 days.
 

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