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 (be exact) ?

Question

Mathematics

Julian Prince

20 August, 18:16

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 (be exact) ?

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Answers (1)

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Davion Coffey · Answer 1

Time taken to fill the pool by faucet:

A-2 days

B-3 days

C-4 days

D-6 hours=6/24=1/4 days

Thus the time taken for the 4 faucets working together to fill the pool will be the GCD of the time taken by the 4, which will be:

GCD (2,3,4,0.25)

=1

=1 day

Answer: 1 day or 24 hours