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?




Similar Math Riddles

By using all numbers, i.e. 123456789 and subtraction/addition, operators number 100 can be formed in many ways.
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If we add four times the age of John four years from now to five times his age five years from now we get ten times his current age.

How old will John be two years from now?

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