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saul85 [17]
3 years ago
11

A swimming pool has four faucets. the first can fill the entire pool with water in two days, the second - in three days, the thi

rd - 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)?
Mathematics
1 answer:
Olenka [21]3 years ago
3 0
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

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