document.write( "Question 206806This question is from textbook Elementary and intermediate algebra
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document.write( ": ``Filing a tank. A water tank has an inlet pipe and a drain pipe. A full tank came be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidently opened when the tank is full, then how long will it take to empty the tank? Ok, drain pipe=30 minutes while the inlet pipe=45 minutes. So would it take 30d/45i=2/3. I am lost. Could you explain to me step by step so I can understand. I did receive an earlier answer of 90 minutes but I need a second opinion. If it takes 30 minutes for the tank to empty and 45 minutes to fill. wouldn't the tank continue to fill because the inlet is open? Please explain to me !! \n" );
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Algebra.Com's Answer #156339 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! `Filing a tank. A water tank has an inlet pipe and a drain pipe. \n" ); document.write( " A full tank came be emptied in 30 minutes if the drain is opened and an empty \n" ); document.write( "tank can be filled in 45 minutes with the inlet pipe opened. \n" ); document.write( "If both pipes are accidently opened when the tank is full, then how long will it \n" ); document.write( " take to empty the tank? \n" ); document.write( ": \n" ); document.write( "Let t = time required to empty the full tank \n" ); document.write( ": \n" ); document.write( "Let the completed job (empty tank) = 1 \n" ); document.write( ": \n" ); document.write( "Let filling be minus and draining be plus \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Multiply equation by 90 to get rid of the denominators \n" ); document.write( "3t - 2t = 90 \n" ); document.write( "t = 90 minutes to empty the tank \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( " \n" ); document.write( "3 - 2 = 1 \n" ); document.write( ": \n" ); document.write( "No the tank would not, because more water is leaving than coming in. \n" ); document.write( "Like you leaving the faucet on with drain plug out, unless you have a drain \n" ); document.write( " problem, the sink will never be filled \n" ); document.write( " |