SOLUTION: a park has two sprinklers that are used to fill a fountain. one sprinkler can fill the fountain in 3 hrs, wheras the secound sprinkler can fill the fountain in 6 hours. how long wi
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Question 125594: a park has two sprinklers that are used to fill a fountain. one sprinkler can fill the fountain in 3 hrs, wheras the secound sprinkler can fill the fountain in 6 hours. how long will it take to fill the fountain using both sprinklers. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a park has two sprinklers that are used to fill a fountain. one sprinkler can fill the fountain in 3 hrs, whereas the second sprinkler can fill the fountain in 6 hours. how long will it take to fill the fountain using both sprinklers.
:
Let t = time required with both sprinklers working
:
Let the completed job = 1
: + = 1
Multiply equation by 6
6* + 6* = 6(1)
:
Cancel out the denominators and you have:
2t + t = 6
:
3t = 6
t =
t = 2 hrs working together
:
We can confirm this by t=2 in the original equation: + = 1
