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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?

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

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 =1-12=12

 

23:12::1:x

 

=> x = 12*1*32=34

 

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

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