SOLUTION: It takes a smaller hose 4
times as long to fill a certain swimming pool as it does a larger hose. It takes both hoses working together 25
minutes to fill the pool. How long will
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-> SOLUTION: It takes a smaller hose 4
times as long to fill a certain swimming pool as it does a larger hose. It takes both hoses working together 25
minutes to fill the pool. How long will
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Question 1158315: It takes a smaller hose 4
times as long to fill a certain swimming pool as it does a larger hose. It takes both hoses working together 25
minutes to fill the pool. How long will it take the larger hose to fill the pool by itself? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! It takes a smaller hose 4 times as long to fill a certain swimming pool as it does a larger hose.
It takes both hoses working together 25 minutes to fill the pool.
How long will it take the larger hose to fill the pool by itself?
:
Let t = time for the larger hose to fill the pool
then
4t = time for smaller hose to do the job
and
let the completed job = 1 (a full pool)
:
A typical shared work equation
each will do a fraction of the job, the two fractions add up 1 + = 1
multiply by 4t, cancel out the denominators
4(25) + 25 = 4t
100 + 25 = 4t
t = 125/4
t = 31.25 min for the large hose to fill the pool
:
:
Check + = 1 + = 1
.8 + .2 = 1
