Taps and a tank

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?

Result

t = 3:45 Wrong answer

Step-by-step explanation:

t1=6 h  t t11 + 3 (tt1/2) t11 = 1  6t+3 (t6/2)/6=1  t/6+3 (t6/2)/6=1  4t=15  t=415=3.75  t=415=3.75=3:45



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