Since it takes 1 faucet 6 hours to fill the tank, it will fill half the tank in 3 hours. Then when three more faucets are opened, there will be 4 faucets filling it, so the second half of the tank will be filled 4 times as fast as the first half was filled. So that will take only 1/4th of the time it took to fill the first half, and 1/4th of 3 hours is 3/4th of an hour or 45 minutes. So it will take a total of 3 hours and 45 minutes. Edwin