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A tank can be filled with water via one pipe in 4 hours. It can be emptied via another pipe in 6 hours, How long will it take to fill the tank if both pipes are opened?​

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Answer:

12 hours

Step-by-step explanation:

Let x be the effective rate of the two pipes,

[tex]\frac{1}{x}=\frac{1}{4}-\frac{1}{6}[/tex]

[tex]\frac{1}{x}=\frac{1}{12}[/tex]

[tex]x=12[/tex]

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