# How long will it take to fill the pool using all 4 faucets together?

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A swimming pool has four faucets. The first can fill the entire pool with water in two days, the second - in three days, the third - in four days, and the last one can fill the pool in 6 hours.
How long will it take to fill the pool using all 4 faucets together?

posted Oct 17, 2014

+1 vote

Since there are 24 hours in one day,
in one hour first tap fills 1/48,
the second tap 1/72,
the third tap 1/96 and
the fourth tap fills 1/6 of the Pool.
That is all together (6+4+3+48) / 288 = 61/288.
The Pool will be full in 288/61 hours,
which is 4 hours 43 minutes and about 17 seconds.

+1 vote

It will take less than 6 hours to fill.

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