document.write( "Question 199565: A hose can fill a swimming pool in 18 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool? \n" ); document.write( "
Algebra.Com's Answer #149977 by edjones(8007)![]() ![]() You can put this solution on YOUR website! 1st hose does 1/18 the job in one hr. \n" ); document.write( "The other hose needs x hours to do the job. So it can do 1/x of the job in one hour. \n" ); document.write( "1/18 + 1/x = (18+x)/18x amount of the job done in one hr by the 2 hoses combined. \n" ); document.write( "18x/(x+18) hours it takes for both hoses to fill the pool. \n" ); document.write( "(18x/(x+18))+3 hours it takes the second hose to fill the pool (3 hrs more than the 2 hoses combined). \n" ); document.write( "x=(18x/(x+18))+3 \n" ); document.write( "x-3=18x/(x+18) \n" ); document.write( "(x-3)(x+18)=18x \n" ); document.write( "x^2+15x-54=18x \n" ); document.write( "x^2-3x-54=0 \n" ); document.write( "(x-9)(x+6)=0 \n" ); document.write( "x=9 hrs \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |