(x-y)*2=0.66
Note that two more gates have been opened, so there are three gates working in the afternoon.
(3y-x)*4=0. 1
Simultaneous solution
x=0.5075,y=0. 1775
So if five gates are opened, the water level will drop by 0. 1775 * 5-0.5075 = 0.38m per hour.
1.2/0.38=3. 15, which means it takes 3. 15 hours to reach the safe water level.
If it needs to be lowered to a safe water level within 6 hours, that is, it needs to be lowered by 0.2m within 1 hour, it needs to be opened.
(0.5075+0.2)/0. 1775=3.98
So we have to open four gates.