Q:
      
      
         
            
A pump can fill a tank with water in 2 hours. Because of a leak, it took  hours to fill the tank. The leak can drain all the water of the tank in:
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: D) 14 hours         
         
Explanation: If the total area of pump=1 part
The pumop take 2 hrs to fill 1 part 
The pumop take1 hour to fill 1/2 portion 
 
Due to lickage  
The pumop take 7/3 hrs to fill 1 part 
The pumop take1 hour to fill 3/7 portion 
Now the difference of area = (1/2-3/7)=1/14 
 
This 1/14 part of water drains in 1 hour 
Total area=1 part of water drains in (1x14/1)hours= 14 hours 
 
So the leak can drain all the water of the tank in 14 hours. 
Leak will empty the tank in 14 hrs
       
      
      
      
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