document.write( "Question 464281: it takes steven four times as long to cut the lawn as it does andrew. working together it takes them 2 hours to cut the lawn. how long will it take steven to cut the lawn alone? \n" ); document.write( "

Algebra.Com's Answer #318160 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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it takes Steven four times as long to cut the lawn as it does Andrew.
\n" ); document.write( "Working together it takes them 2 hours to cut the lawn.
\n" ); document.write( " How long will it take Steven to cut the lawn alone?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required by Andrew to cut the lawn
\n" ); document.write( "It says,\"it takes Steven four times as long to cut the lawn as it does Andrew.\", therefore:
\n" ); document.write( "4t = time required by Steven to cut the lasw
\n" ); document.write( "Let the completed job = 1; (a cut lawn)
\n" ); document.write( ":
\n" ); document.write( "Write a shared work equation
\n" ); document.write( "Each man will do a fraction of the lawn, the two fractions add up to 1
\n" ); document.write( " $\"2%2Ft\"$ + $\"2%2F%284t%29\"$ = 1
\n" ); document.write( "Multiply by 4t. results:
\n" ); document.write( "4(2) + 2 = 4t
\n" ); document.write( "10 = 4t
\n" ); document.write( "t = $\"10%2F4\"$
\n" ); document.write( "t = 2.5 hrs, Andrew by himself
\n" ); document.write( "then
\n" ); document.write( "4(2.5) = 10 hrs for Steven to cut the lawn alone\r
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