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If the drain were closed and you wanted to fill the 120-gallon tub in 1 hour (= 60 minutes), then the input rate would have to be 120 gallons per hour or 2 gallons per minute.
Now if, simultaneously, the open drain removed the water at the rate of 6 gallons per minute, then you would need to add 6 gallons more per minute more the make up the deficit.
Let x = the rate at which you need to add the water.
x gals/min - 6 gals/min = 2 gals per min.
x-6 = 2 Add 6 to both sides.
x = 8
You would need to add water at the rate of 8 gallons per minute to fill the 120-gallon tub in 1 hour with the 6-gallon per minute drain open.
