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?
The first tap fills half the tank in 3 hours. After that, four taps are opened, so the remaining half is filled at four times the rate: Time to fill the remaining half = $\frac{3}{4} = 0.75$ hours. Total time = 3 + 0.75 = 3.75 hours = 3 hours 45 minutes.