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)\"\" \"About 
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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( "\"30%2Ft\" + \"30%2F%281.5t%29\" = 1
\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
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