document.write( "Question 402276: A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 5 hours. How long will it take to fill the vat if both pipes are left open? \n" ); document.write( "
Algebra.Com's Answer #284975 by ptaylor(2198)\"\" \"About 
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Let x=amount of time it takes to fill the vat with both pipes open
\n" ); document.write( "Then, with both pipes open, the vat fills at the rate of 1/x vat per hr
\n" ); document.write( "The inlet pipe fills at the rate of 1/3 vat per hour
\n" ); document.write( "The outlet pipe empties at the rate of 1/5 vat per hour
\n" ); document.write( "So, with both pipes open the vat fills at the rate of 1/3 - 1/5 =2/15 vat per hour
\n" ); document.write( "Now our equation to solve is:
\n" ); document.write( "2/15 = 1/x multiply each side by 15x
\n" ); document.write( "2x=15
\n" ); document.write( "x=7.5 hours time it takes to fill the vat with both pipes open\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "In 7.5 hours, the inlet pipe fills (1/3)*7.5=2.5 vats
\n" ); document.write( "In 7.5 hours the outlet pipe empties (1/5)*7.5=1.5 vats
\n" ); document.write( "So, 2.5-1.5=1 vat\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "
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