Thursday, 21 November 2013

Hole Digging Puzzle

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#166

Three friends, Amar, Akbar and Anthony got a task to dig a hole. 
On their own, Amar can dig a hole in 18 minutes, 
Akbar can dig a hole in 6 minutes and 
Anthony can dig a hole in 5 minutes. 
Amar and Akbar did not know that, Anthony has Short term memory loss.
So, when they started to dig the hole together, Anthony forgotten what he was supposed to be doing. So, he started shovelling the dirt back into the hole at the same rate as he could have removed dirt. 
Amar and Akbar never noticed this. 
So, how much time will they take to complete the task ??? 

  Difficulty Level - 3/5

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  Solution : 

   45 minutes.(1/18 + 1/6 - 1/5)
  

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