document.write( "Question 182103: A water tank has an inlet pipe and a drain
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document.write( "pipe. A full tank can be emptied in 30 minutes if the drain
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document.write( "is opened and an empty tank can be filled in 45 minutes
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document.write( "with the inlet pipe opened. If both pipes are accidentally
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document.write( "opened when the tank is full, then how long will it take to
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document.write( "empty the tank? \n" );
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Algebra.Com's Answer #136677 by stanbon(75887) ![]() You can put this solution on YOUR website! A water tank has an inlet pipe and a drain pipe. \n" ); document.write( "------------ \n" ); document.write( "A full tank can be emptied in 30 minutes if the drain \n" ); document.write( "is opened and an empty tank can be filled in 45 minutes \n" ); document.write( "with the inlet pipe opened. \n" ); document.write( "----------------------------- \n" ); document.write( "If both pipes are accidentally opened when the tank is full, \n" ); document.write( "then how long will it take to empty the tank? \n" ); document.write( "------------------------------ \n" ); document.write( "Drain pipe DATA: \n" ); document.write( "time = 30 min/job ; rate = (1/30) job/min \n" ); document.write( "---------------------------------------- \n" ); document.write( "Fill pipe DATA: \n" ); document.write( "time = 45 min/job ; rate = 1/45 job/min \n" ); document.write( "---------------------------------------- \n" ); document.write( "Together DATA: \n" ); document.write( "time = x min/job ; rate = 1/x job/min \n" ); document.write( "--------------------------------------- \n" ); document.write( "Equations: \n" ); document.write( "fill rate - drain rate = together emptying rate \n" ); document.write( "1/30 - 1/45 = 1/x\r \n" ); document.write( "\n" ); document.write( "45x-30x 30*45 \n" ); document.write( "15x = 30*45 \n" ); document.write( "x = 90 min (time to empty the tank when both pipes are open \n" ); document.write( "================================================ \n" ); document.write( "Chers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |