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)![]() ![]() ![]() 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( " |