document.write( "Question 155235This question is from textbook Elementary and intermediate algebra
\n" ); document.write( ": If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how long would it take if you work together? What assumptions (if any) did you make to arrive at your solution?
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Algebra.Com's Answer #114328 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
If you can cut the lawn in 2 hours, and your spouse can do it in 3 hours, how
\n" ); document.write( " long would it take if you work together? What assumptions (if any) did you
\n" ); document.write( " make to arrive at your solution?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required working together
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\n" ); document.write( "Let the completed job = 1
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\n" ); document.write( "The fraction of the job, that each does, adds up to 1
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\n" ); document.write( " $\"t%2F2\"$ + $\"t%2F3\"$ = 1
\n" ); document.write( "Get rid of the denominators multiply each term by 6, results:
\n" ); document.write( "3t + 2t = 6
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\n" ); document.write( "5t = 6
\n" ); document.write( "t = $\"6%2F5\"$
\n" ); document.write( "t = 1.2 hrs working together
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\n" ); document.write( "Check solution on calc: enter (1.2/2) + (1.2/3) = 1
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\n" ); document.write( "You have to assume that you have two lawn mowers!! \n" ); document.write( "

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