SOLUTION: Next door neighbors Bob and Jim use hoses from both houses to fill Bobs swimming pool. They know that it takes 18 hours to fill using both hoses. They also know that Bobs hose, use

Question 649267: Next door neighbors Bob and Jim use hoses from both houses to fill Bobs swimming pool. They know that it takes 18 hours to fill using both hoses. They also know that Bobs hose, used alone, takes 20% less time than Jims hose alone. How much time would is required to fill the pool by each hose alone? .. I am having a hard time showing my work, not neccesarily getting the answer but id aprreciate any help
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs for Jim's hose alone to fill pool
= time in hrs for Bob's hose alone to fill pool
------
Add their rates of filling to get rate filling together

Multiply both sides by

40.5 = time in hrs for Jim's hose alone to fill pool
32.4 = time in hrs for Bob's hose alone to fill pool
check:

OK

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