document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980634>Question 980634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Together, Diane and Craig can mow their lawN in 1 hour and 10 minutes. Working alone, Diane can mow the lawn in 2 hours. How long will it take Craig to mow the lawn when working alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601772 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><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/cgi-bin/show-face.mpl?user=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know that when they work together, they can complete the lawn job in 1 hour and 10 min, which is the same as 7/6 of an hour (1 hour and 10 min = 70 minutes.  70 minutes/60 minutes = 7/6).  We normally are asked to find out how long it would take 2 people to do 1 job if each works at a certain rate.  For instance, if our question said, \"It takes John 3 hours to mow the lawn and it takes Suzy 4 hours to mow the lawn, how long would it take them to work together?\"  We would set the equation up as follows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F3%29%2B%28x%2F4%29=1 ALIGN=MIDDLE  ALT=\"%28x%2F3%29%2B%28x%2F4%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In our case, we already know how long it takes them to work together (7/6 hours), but we don't know how long it takes Craig to mow the lawn working alone.  So, where the x's are in our normal equation, we would put 7/6 in it's place.  In the denominator of the fraction representing Craig, we would list an x, so the equation would look like the following:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287%2F6%29%2F2%29%2B%28%287%2F6%29%2Fx%29=1 ALIGN=MIDDLE  ALT=\"%28%287%2F6%29%2F2%29%2B%28%287%2F6%29%2Fx%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we would solve for x.  \r<BR>\n" );
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document.write( "First, we can multiply our equation by the LCD of our fractions, which is 2x.  Multiplying our entire equation by 2x would give us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%287x%29%2F6%29%2B%2814%2F6%29=2x ALIGN=MIDDLE  ALT=\"%28%287x%29%2F6%29%2B%2814%2F6%29=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, multiply our equation by 6 to get rid of all of our fractions.  This will give us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B14=12x ALIGN=MIDDLE  ALT=\"7x%2B14=12x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 7x from both sides, which will give us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14+=+12x+-7x ALIGN=MIDDLE  ALT=\"14+=+12x+-7x\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14=5x ALIGN=MIDDLE  ALT=\"14=5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides of the equation by 5, which will give us:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F5=x ALIGN=MIDDLE  ALT=\"14%2F5=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.8=x ALIGN=MIDDLE  ALT=\"2.8=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It will take Craig 2.8 hours to mow the lawn when working alone.  To convert 2.8 hours to hours and minutes, just multiply 60 by .8:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2A.8=48 ALIGN=MIDDLE  ALT=\"60%2A.8=48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, it will take Craig 2 hours and 48 minutes to mow the lawn when working alone.\r<BR>\n" );
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document.write( "ANSWER:  2 hrs 48 min </SPAN>\n" );
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