• Numerical Ability - Time & Work
Question

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days, with help of C, they did the job in 4 days only. Then, C alone can do the job in:

  • A) 9 1/5
  • B) 9 2/5
  • C) 9 3/5
  • D) 10
  • E) None of these
Solution

Ans.3

(A + B + C)’s 1 day’s work =1/4


A’s 1 day’s work =1/16


B’s 1 day’s work =1/12


C’s 1 day’s work =1/4-[1/16+1/12] = [1/4 - 7/48] = 5/ 48

 

So, C alone can do the work in 48/5 = 9 (3/5)

 

Ans.3

(A + B + C)’s 1 day’s work =1/4


A’s 1 day’s work =1/16


B’s 1 day’s work =1/12


C’s 1 day’s work =1/4-[1/16+1/12] = [1/4 - 7/48] = 5/ 48

 

So, C alone can do the work in 48/5 = 9 (3/5)

 
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