document.write( "Question 813139: One person takes 1.5 times as long to rake a lawn as a second person. The two people can rake the lawn together in 30 minutes. Find the time it takes the first person to rake the lawn alone. \n" ); document.write( "
Algebra.Com's Answer #489662 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! One person takes 1.5 times as long to rake a lawn as a second person. \n" ); document.write( " The two people can rake the lawn together in 30 minutes. \n" ); document.write( " Find the time it takes the first person to rake the lawn alone. \n" ); document.write( ": \n" ); document.write( "let t = time required by the 2nd person to do the job \n" ); document.write( "then \n" ); document.write( "1.5t = time required by the 1st person \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1, (a beautiful leaf-free lawn) \n" ); document.write( ": \n" ); document.write( "A shared work equation \n" ); document.write( " \n" ); document.write( "multiply by 1.5t, results \n" ); document.write( "1.5(30) + 30 = 1.5t \n" ); document.write( "45 + 30 = 1.5t \n" ); document.write( "75 = 1.5t, which is the 1st person's time to do it alone \n" ); document.write( "75 minutes is the answer \n" ); document.write( " |