document.write( "Question 218847: A distillate flows into an empty 6 gallon drum at spout A and out at spout B.If the rate of flow through A is 2 gallon per hour.How many gallon per hour must flow out at spout B so that the drum is full in exactly 96 hours. \n" ); document.write( "
Algebra.Com's Answer #164731 by ptaylor(2198) You can put this solution on YOUR website! Rate of flow into the tank at spout A=2 gal/hr \n" ); document.write( "Let x=rate of flow out at Spout B (gal/hr)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Net rate of flow into the tank=2-x\r \n" ); document.write( "\n" ); document.write( "Now we know that net rate of flow into the tank times 96 hrs=6 gal \n" ); document.write( "So, our equation to solve is:\r \n" ); document.write( "\n" ); document.write( "(2-x)*96=6 \n" ); document.write( "192-96x=6 subtract 192 from each side \n" ); document.write( "-96x=6-192 \n" ); document.write( "-96x=-186 divide each side by -96 \n" ); document.write( "x=1.9375 gal/hr----rate of flow out at Spout B (gal/hr)\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "(2-1.9375)*96=6 \n" ); document.write( "0.0625*96=6 \n" ); document.write( "6=6\r \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " |