Problem about water and time

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You can fill a container with water from a hot water tap in $80$ minutes. The container can be filled with water from a cold water tap in $48$ minutes. How long does it take to fill the tub, if you use both faucets?

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So the hot water tap fills $1 \over 80$ of the container in one minute and the cold water $1\over 48$. Together they fill $1\over 30$ of the container in one minute which means they need $30$ minutes to fill it together.