document.write( "Question 232546: Pipe A can fill a tank in 5 hours. Pipe B can fill the tank in 2 hours less time than it takes pipe C to empty it. With all pipes open it takes 3 hours to fill the tank. How long will it take pipe C to empty the tank? \n" ); document.write( "
Algebra.Com's Answer #171819 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Pipe A can fill a tank in 5 hours. Pipe B can fill the tank in 2 hours less time than it takes pipe C to empty it. With all pipes open it takes 3 hours to fill the tank. How long will it take pipe C to empty the tank? \n" ); document.write( "------ \n" ); document.write( "Pipe A DATA: \n" ); document.write( "filling rate = 1/5 tank/hr \n" ); document.write( "------------------- \n" ); document.write( "Pipe C DATA: \n" ); document.write( "filling rate = 1/x tank/hr \n" ); document.write( "----------------------- \n" ); document.write( "Pipe B DATA: \n" ); document.write( "filling rate = 1/(x-2) tank/hr \n" ); document.write( "------------------------ \n" ); document.write( "Together DATA: \n" ); document.write( "filling rate = 1/3 tank/hr \n" ); document.write( "------------------------------------ \n" ); document.write( "Equation: \n" ); document.write( "rate + rate + rate = together rate \n" ); document.write( "1/5 + 1/x + 1/(x-2) = 1/3 \n" ); document.write( "Multiply thru by 15x(x-2): \n" ); document.write( "3x(x-2) + 15(x-2) + 15x = 5x(x-2) \n" ); document.write( "etc. \n" ); document.write( "I'll let you finish this. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |