SOLUTION: A swimming pool can be emptied in 24 hours using 2 hoses . How long it will take to drain the same pool using 3 similar hoses

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Question 1034770: A swimming pool can be emptied in 24 hours using 2 hoses . How long it will take to drain the same pool using 3 similar hoses
Answer by ikleyn(52805) About Me  (Show Source):
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A swimming pool can be emptied in 24 hours using 2 hoses. How long it will take to drain the same pool using 3 similar hoses
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The rate of two hoses working simultaneously (1 + 1)  is 1%2F24 of the pool volume per hour.


Hence, the rate of one (each, single) hose is 1%2F48 of the pool volume per hour.


Then the rate of 3 hoses working simultaneously (1 + 1 + 1) is 3%2F48 = 1%2F16.


Therefore, the three hoses will take 16 hours to drain the pool, working simultaneously.