SOLUTION: Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 26 h using both hoses. They also know that Bob's hose, used alone, t

Question 903770: Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 26 h using both hoses. They also know that Bob's hose, used alone, takes 50% less time than Jim's hose alone. How much time is required to fill the pool by each hose alone
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a=b/2
1/b/2+1/b=1/26
2/b+1/b=1/26
3/b=1/26
b=78
a=78/2
a=39 b=78
check
1/a+1/b=1/x
1/39+1/78=1/26
2/78+1/78=1/26
3/78=1/26
x=26 hours working together
a=39 hours working alone
b=78 hours working alone
ok

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