document.write( "Question 557367: a bathtub takes 10 minutes to fill with water and 12 minutes to drain. If the drain stays open unnoticed, how long will it take to fill the tub with water? \n" ); document.write( "
Algebra.Com's Answer #362566 by bluemockingjay7(41)![]() ![]() You can put this solution on YOUR website! rate x time = work\r \n" ); document.write( "\n" ); document.write( "Fill rate = 1/10 \n" ); document.write( "Time = x \n" ); document.write( "Work = 1/10 * x = x/10\r \n" ); document.write( "\n" ); document.write( "Drain rate = 1/12 \n" ); document.write( "Time = x \n" ); document.write( "Work = 1/12 * x = x/12\r \n" ); document.write( "\n" ); document.write( "x/10 - x/12 = 1 \n" ); document.write( "LCM = 60 \n" ); document.write( "60(x/10 - x/12 = 1) \n" ); document.write( "6x - 5x = 60 \n" ); document.write( "x = 60\r \n" ); document.write( "\n" ); document.write( "It will take 60 minutes or 1 hour to fill the tub with water. \n" ); document.write( " |