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The inlet valve fills 1/6th of the vat in an hour.
The outlet valve drains 1/10th of the vat in an hour.

When they are both open, (1/6th - 1/10th) of the vat fills in an hour.

(1/6 - 1/10) = (5/30 - 3/30) = 2/30 = 1/15th fills in one hour.

So with both valves open, it takes 15 hours to fill the vat.

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15y ago

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