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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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  1. 20 August, 20:50
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    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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