SOLUTION: Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 16 h using both hoses. They also know that Bob's hose, used alone, t

Question 366390: Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 16 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 edjones(8007) (Show Source): You can put this solution on YOUR website!
together 16 hr
Let jim's=j and bob's=.5j
1/j + 1/.5j = 1/16
8j+16j=.5j^2
24j=.5j^2
.5j^2-24j=0
j^2-48j=0 multiply each side by 2.
j(j-48)=0
j=48 hr
b=24 hr
.
Ed

RELATED QUESTIONS
Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool.... (answered by scott8148)

Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool.... (answered by nerdybill)

Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool.... (answered by MathTherapy)

Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool.... (answered by richwmiller)

Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool.... (answered by josmiceli,greenestamps)

Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool.... (answered by josmiceli)

Next door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool.... (answered by elima,adamhen894,josgarithmetic,ikleyn)

next door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool.... (answered by mananth)

Next door neighbors Bob and Jim use hoses from both houses to fill Bobs swimming pool.... (answered by josmiceli)