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A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

Correct Answer: 3 hrs 45 min

Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.


 


  Part filled by the four taps in 1 hour =4*1/6 =2/3


 


Remaining part = 1 - 1 2 = 1 2


 


2 3 : 1 2 : : 1 : x


 


=> x =  1 2 * 1 * 3 2 = 3 4


 


So, total time taken = 3 hrs. 45 mins.


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