document.write( "Question 1140378: It takes an older pump four times as long to drain a certain pool as it does a newer pump. Working together it takes the two pumps three hours to drain the pool . How long will it take the newer pump to drain the pool working alone? \n" ); document.write( "
Algebra.Com's Answer #760885 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! newer pump takes x hours \n" ); document.write( "older pump takes 4x hours \n" ); document.write( "in 1 hour they drain (1/x) and (1/4x) respectively. \n" ); document.write( "(3/x)+(3/4x)=1 full pool drained. \n" ); document.write( "multiply by 4x \n" ); document.write( "12+3=4x \n" ); document.write( "x=(15/4) hours or 3.75 hours for new pump \n" ); document.write( "in 3 hours, it drains 3/3.75 of the pool or 80% \n" ); document.write( "the other pump drains 20% in that time \n" ); document.write( " |