document.write( "Question 309889: Pipes A and B can fill a tank in 45 minutes when used together. Alone, pipe A can fill the tank in one hour. How long would it take to fill the tank if only pipe B is used? \n" ); document.write( "
Algebra.Com's Answer #221667 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Pipes A and B can fill a tank in 45 minutes when used together. \n" ); document.write( " Alone, pipe A can fill the tank in one hour. \n" ); document.write( " How long would it take to fill the tank if only pipe B is used? \n" ); document.write( ": \n" ); document.write( "Change 1 hr to 60 min \n" ); document.write( ": \n" ); document.write( "Let b = time for B to fill it alone \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 (a full tank) \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Reduce the fraction \n" ); document.write( " \n" ); document.write( "multiply by 4b, results: \n" ); document.write( "3b + 4(45) = 4b \n" ); document.write( ": \n" ); document.write( "3b + 180 = 4b \n" ); document.write( ": \n" ); document.write( "180 = 4b - 3b \n" ); document.write( ": \n" ); document.write( "180 = b \n" ); document.write( ": \n" ); document.write( "B can fill the tank alone in 180 minutes \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( "45/60 + 45/180 = \n" ); document.write( ".75 + .25 = 1\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |