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Question 203242: I don't know how to set it up.
*the city swimming pool can be filled from two sources, a well or a city water. the pipe for the city water fills the pool in 6hours and the pipe from well fills it 10 hours. how long will it take the pool to fill if both sources are piped in at same time?
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website! OK. I'LL HELP.
Let x=amount of time it takes the pool to fill if both sources are piped in at same time
Then both sources working together fills the pool at the rate of 1/x pool per hour
City water fills at the rate of 1/6 pool per hour, and
The well fills at the rate of 1/10 pool per hour
Then both sources working together fill the pool at the rate of 1/6 + 1/10 pool per hour. So, our equation to solve is:
1/6 +1/10=1/x multiply each term by 30x
5x+3x=30 collect like terms
8x=30 divide each side by 8
x=30/8 or 3 3/4 hours------amount of time it takes the pool to fill if both sources are piped in at same time
CK
In 3 3/4 hours or 30/8 hours, city water fills (1/6)(30/8)=5/8 of the pool
In 3 3/4 hours the well fills (1/10)(30/8)=3/8 of the pool
5/8 +3/8=8/8 or 1 pool
Hope this helps---ptaylor
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