document.write( "Question 500771: A winery has a vat with 2 pipes leading to it. The inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it in 10 hours. How long will it take to fill the vat if both pipes are left open? \n" ); document.write( "

Algebra.Com's Answer #338403 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A winery has a vat with 2 pipes leading to it.
\n" ); document.write( " The inlet pipe can fill the vat in 6 hours, while the outlet pipe can empty it in 10 hours.
\n" ); document.write( " How long will it take to fill the vat if both pipes are left open?
\n" ); document.write( ":
\n" ); document.write( "Let t = time to fill when both valves are open
\n" ); document.write( "Let the completed job = 1, (a full vat)
\n" ); document.write( ":
\n" ); document.write( " $\"t%2F6\"$ 1 $\"t%2F10\"$ = 1
\n" ); document.write( "multiply b6 30 to clear the denominators, results:
\n" ); document.write( "5t - 3t = 30
\n" ); document.write( "2t = 30
\n" ); document.write( "t = $\"30%2F2\"$
\n" ); document.write( "t = 15 hrs to fill the vat:
\n" ); document.write( ":
\n" ); document.write( "Check
\n" ); document.write( "15/6 - 15/10 =
\n" ); document.write( "2.5 - 1.5 = 1; confirms our solution of t = 15 hrs
\n" ); document.write( " \n" ); document.write( "

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