SOLUTION: Using one drain a swimming pool can be emptied in 45 minutes. Using a different drain the job requires one hour and fifteen minutes how long would it take if both drains were open

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Question 367472: Using one drain a swimming pool can be emptied in 45 minutes. Using a different drain the job requires one hour and fifteen minutes how long would it take if both drains were open
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Output.
.
.
Find each drain's drain rate.
Let the pool volume equal Z.
R%5B1%5D%2At=Z
R%5B1%5D%2A45=Z
R%5B1%5D=Z%2F45
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.
.
R%5B2%5D%2A75=Z
R%5B2%5D=Z%2F75
.
.
.
With both valves open, find t,
%28R%5B1%5D%2BR%5B2%5D%29%2At=Z
%28Z%2F45%2BZ%2F75%29%2At=Z
%281%2F15%29%281%2F3%2B1%2F5%29%2At=1
%281%2F15%29%285%2F15%2B3%2F15%29%2At=1
%281%2F15%29%288%2F15%29%2At=1
highlight%28t=225%2F8%29minutes