Water in the Bucket

I want to fill my bucket using both cold and hot water.
I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and the cold water tap fills the bucket in exact 4 hours.
I turn both of them simultaneously but I forgot to turn off another tap which removes the water out of the bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket?




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By using all numbers, i.e. 123456789 and subtraction/addition, operators number 100 can be formed in many ways.
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In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.