document.write( "Question 258175: 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 #190044 by stanbon(75887) ![]() You can put this solution on YOUR website! 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. If both pipes are accidentally \n" ); document.write( "opened when the tank is full, then how long will it take to \n" ); document.write( "empty the tank? \n" ); document.write( "------------------------------------------------- \n" ); document.write( "Filling tank DATA: \n" ); document.write( "rate = 1/30 job/min \n" ); document.write( "------ \n" ); document.write( "Emptying tank DATA: \n" ); document.write( "rate = 1/45 job/min \n" ); document.write( "--------------------- \n" ); document.write( "Together DATA: \n" ); document.write( "rate = 1/x job/min \n" ); document.write( "========================== \n" ); document.write( "Equation: \n" ); document.write( "rate - rate = together rate \n" ); document.write( "1/30 - 1/45 = 1/x \n" ); document.write( "--- \n" ); document.write( "(45-30)/(30*45) = 1/x \n" ); document.write( "15x = 30*45 \n" ); document.write( "x = 90 minutes (amt. of time needed to fill the tank) \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |