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Q: A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days  ?

  • 1
    9 days
  • 2
    11 days
  • 3
    13 days
  • 4
    15 days
  • Show Answer
  • Workspace

Answer : 3. "13 days"
Explanation :

Answer: C) 13 days Explanation: Ratio of times taken by A and B = 100 : 130 = 10 : 13.Suppose B takes x days to do the work. Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13/10 )     =>     x = 299 /10. A's 1 day's work = 1/23 ;B's 1 day's work = 10/299 . (A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 . Therefore, A and B together can complete the work in 13 days.

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