SOLUTION: I need help solving this problem completely. I need step-by-step instructions. Please include how long it take to fill the pool using only the large hose. When water is turned

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Question 1024996: I need help solving this problem completely. I need step-by-step instructions. Please include how long it take to fill the pool using only the large hose.
When water is turned on and passes through a small hose, your pool can be filled in 8 hours. When the water is turned on at two spigots and passes through both the small and large hose, the pool can be filled in 4 hours. How long would it take to fill the pool using only the large hose?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
This part is designed to make you figure out what is important and make you think how this should be simplifed, before trying to put the description into symbols.

When the water is turned on at two spigots and passes through both the small and large hose, the pool can be filled in 4 hours.

Think through that long enough, and it may mean, "both the small and large hose combined".

These are the rates in the unit of POOL-WORTH per HOUR:
HOSES                              RATE
small hose                         1/8
large hose                         1/x
small and large hose together      1/4


Rate of agents working together is sum of the rates of the agents.

You can solve for x, which is what the question asks.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
See various joint-work problems in the lessons
    - Using Fractions to solve word problems on joint work
    - Solving more complicated word problems on joint work
    - Using quadratic equations to solve word problems on joint work
in this site.


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