document.write( "Question 329310: 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 #236007 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( "Emptying Pipe DATA: \n" ); document.write( "time = 1/2 hr/job ; rate = 2 jobs/hr \n" ); document.write( "----------------------------------- \n" ); document.write( "Fill tank DATA: \n" ); document.write( "time = 3/4 hr/job ; rate = 4/3 job/hr \n" ); document.write( "------------------ \n" ); document.write( "If both pipes are accidentally \n" ); document.write( "opened when the tank is full, then how long \n" ); document.write( "will it take to empty the tank?\r \n" ); document.write( "\n" ); document.write( "Together DATA: \n" ); document.write( "time = x hrs/job ; rate = 1/x job/hr. \n" ); document.write( "====================================== \n" ); document.write( "Equation: \n" ); document.write( "Empty rate - Fill rate = together rate \n" ); document.write( "2 - (4/3) = 1/x \n" ); document.write( "--- \n" ); document.write( "Multiply thru by 3x to get: \n" ); document.write( "6x-4x = 3 \n" ); document.write( "2x = 3 \n" ); document.write( "x = 3/2 hrs \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |