document.write( "Question 640453: Two pumps working together can fill a water tank in 18 minutes. one pump works twice as fast as the other pump. If each pump worked alone, how long would it take to fill the water tank? \n" ); document.write( "
Algebra.Com's Answer #403285 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Two pumps working together can fill a water tank in 18 minutes. one pump works twice as fast as the other pump. If each pump worked alone, how long would it take to fill the water tank? \n" ); document.write( "** \n" ); document.write( "let x=minutes faster pump can fill tank by itself \n" ); document.write( "Its work rate=1/x \n" ); document.write( "2x=minutes slower pump can fill tank by itself \n" ); document.write( "Its work rate=1/2x \n" ); document.write( "1/18=work rate pumps working together \n" ); document.write( ".. \n" ); document.write( "sum of individual work rates=work rate when working together \n" ); document.write( "1/x+1/2x=1/18 \n" ); document.write( "LCD=2x \n" ); document.write( "2+1=2x/18 \n" ); document.write( "3=x/9 \n" ); document.write( "x=27 \n" ); document.write( "2x=54 \n" ); document.write( "minutes faster pump can fill tank by itself=27 \n" ); document.write( "minutes slower pump can fill tank by itself=54 \n" ); document.write( " |