document.write( "Question 601332: A cold water tap can fill a tub in 6 minutes and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drain is open, how long will it take to fill the tub? \n" ); document.write( "
Algebra.Com's Answer #379692 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! A cold water tap can fill a tub in 6 minutes and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drain is open, how long will it take to fill the tub? \n" ); document.write( "** \n" ); document.write( "1/6 =work rate of cold water tap \n" ); document.write( "1/8=work rate of hot water tap \n" ); document.write( "1/10=work rate of drain \n" ); document.write( "let x=minutes to fill tub when both taps and drain are open \n" ); document.write( ".. \n" ); document.write( "x/6+x/8-x/10=100%=1 \n" ); document.write( "LCD:120 \n" ); document.write( "20x+15x-12x=120 \n" ); document.write( "23x=120 \n" ); document.write( "x=120/23 ≈5.22 minutes \n" ); document.write( "ans: \n" ); document.write( "Time it takes to fill tub when both taps and drain are open=5.22 minutes \n" ); document.write( " \n" ); document.write( " |