document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132055>Question 132055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using a new lawn mower, Abby can mow the lawn in 2 hours. Her sister Carla uses an older mower and takes 3 huors to mow the same lawn. How long will it take them if they work together? Please tell me how you answer it. That would be awesome. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96426 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since Abby can mow the lawn in 2 hours, that means that each hour she does 1/2 of the lawn.<BR>\n" );
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document.write( "Since Carla mows the lawn in 3 hours, each hour she mows she does 1/3 of the lawn. <BR>\n" );
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document.write( "If they work together for T hours then for completing the 1 job it will take them:<BR>\n" );
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document.write( "(1/2)*T + (1/3)*T = 1<BR>\n" );
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document.write( "You can factor the T and the equation becomes:<BR>\n" );
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document.write( "T*(1/2 + 1/3) = 1<BR>\n" );
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document.write( "1/2 equals 3/6 and 1/3 = 2/6. Substituting these equivalent values into the equation results<BR>\n" );
document.write( "in:<BR>\n" );
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document.write( "T*(3/6 + 2/6) = 1<BR>\n" );
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document.write( "Since the two fractions now have the same denominator, they can be combined by adding their<BR>\n" );
document.write( "numerators over the common denominator ... and this makes the equation become:<BR>\n" );
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document.write( "T*5/6 = 1<BR>\n" );
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document.write( "Get rid of the denominator 6 by multiplying both sides of the equation by 6 to convert the<BR>\n" );
document.write( "equation to:<BR>\n" );
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document.write( "T*5 = 6<BR>\n" );
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document.write( "Solve for T by dividing both sides of the equation by 5 and you have:<BR>\n" );
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document.write( "T = 6/5 = 1.2<BR>\n" );
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document.write( "and 1.2 hours is the same as 60 minutes times 1.2 which is 72 minutes. And 72 minutes is<BR>\n" );
document.write( "1 hour and 12 minutes.<BR>\n" );
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document.write( "So working together the two ladies can mow the complete lawn in 1 hour and 12 minutes.<BR>\n" );
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document.write( "Hope this helps you to understand the problem a little better.<BR>\n" );
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document.write( " </SPAN>\n" );
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