document.write( "Question 162043: maria wax her car in 2 hours when she works with susan they can wax the car in 45 mins. how long will it take susan working by herself to wax the car? \n" ); document.write( "
Algebra.Com's Answer #119419 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Maria waxes her car in 2 hours. When she works with Susan, they can wax the car \n" ); document.write( " in 45 mins. How long will it take Susan, working by herself, to wax the car? \n" ); document.write( ": \n" ); document.write( "Let x = time required by Susan by herself \n" ); document.write( ": \n" ); document.write( "Change 45 min to hrs: 45/60 = .75 hrs \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "Each will do a fraction of the job and will add up to 1 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Multiply equation by 2x to eliminate the denominators, solve for x \n" ); document.write( ".75x + 2(.75) = 2x \n" ); document.write( ": \n" ); document.write( ".75x + 1.5 = 2x \n" ); document.write( ": \n" ); document.write( "1.5 = 2x - .75x \n" ); document.write( ": \n" ); document.write( "1.5 = 1.25x \n" ); document.write( "x = \n" ); document.write( "x = 1.2 hrs, for Susan to do the job by herself \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution on a calc \n" ); document.write( ".75/2 + .75/1.2 = 1\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |