thatd depend on the size of the pool, the width, depth etc, the rate of water flowing from your tap. you could use calculus to find the time it would take under these conditions, but why would you bother.
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This is one of those questions that has no real answer. You drain a pool by pumping out the water so the bigger your pump, the less time it takes. Your standard olympic sized pool holds 660,000 US Gal. so take that number, divide it by your pumping capacity and that will give you the time.
That depends on how quickly you put water in it. with a hose at home it should take about a day.
2,500 m3 (88,000 cu ft) or
2,500,000 L (550,000 imp gal/660,000 US gal)
minimum, depending on depth[4]...