document.write( "Question 243471: A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 6 hours, while an outlet pipe can empty the barrel in 9 hours. How long will it take if both pipes are open? \n" ); document.write( "
Algebra.Com's Answer #178383 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A winery has a barrel to hold chardonnay. An inlet pipe can fill the barrel in 6 hours, while an outlet pipe can empty the barrel in 9 hours. How long will it take if both pipes are open?
\n" ); document.write( "--------------------
\n" ); document.write( "inlet DATA:
\n" ); document.write( "time = 6 hr/job ; rate = 1/6 job/hr
\n" ); document.write( "----
\n" ); document.write( "outlet DATA:
\n" ); document.write( "time = 9 hr/job ; rate = 1/9 job hr
\n" ); document.write( "---------------------
\n" ); document.write( "Together DATA:
\n" ); document.write( "time = x hr/job ; rate = 1/x job/hr
\n" ); document.write( "---------------------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "rate - rate = together rate
\n" ); document.write( "1/6 - 1/9 = 1/x
\n" ); document.write( "Multiply thru by 54x to get:
\n" ); document.write( "9x - 6x = 54
\n" ); document.write( "3x = 54
\n" ); document.write( "x = 18 hrs.
\n" ); document.write( "---------------------------
\n" ); document.write( "The tank will be filled in 18 hrs.
\n" ); document.write( "======================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );