document.write( "Question 968996: It takes one pipe 4 hours more to empty a pool than it takes another pipe to fill the pool. If both pipes are accidentally left open, it takes 24 hours to fill the pool. How long does it take a single pipe to fill the pool? \n" ); document.write( "
Algebra.Com's Answer #592037 by lwsshak3(11628)\"\" \"About 
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It takes one pipe 4 hours more to empty a pool than it takes another pipe to fill the pool. If both pipes are accidentally left open, it takes 24 hours to fill the pool. How long does it take a single pipe to fill the pool?
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\n" ); document.write( "let x=time it takes fill pipe to fill the pool by itself
\n" ); document.write( "1/x=its fill rate
\n" ); document.write( "x+4=time it takes drain pipe to empty the pool by itself
\n" ); document.write( "1/(x+4)=its drain rate
\n" ); document.write( "24=time it takes to fill the pool with both pipes open
\n" ); document.write( "1/24=their fill rate
\n" ); document.write( "\"1%2Fx-1%2F%28x%2B4%29=1%2F24\"
\n" ); document.write( "lcd:24x(x+4)
\n" ); document.write( "24(x+4)-24x=x(x+4)
\n" ); document.write( "24x+96-24x=x^2+4x
\n" ); document.write( "x^2+4x-96=0
\n" ); document.write( "(x-8)(x+12)=0
\n" ); document.write( "x=8
\n" ); document.write( "How long does it take a single pipe to fill the pool? 8 hrs \n" ); document.write( "
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