document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109329>Question 109329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ron takes two hours more than paul to mow the lawn . working togather they can mow the lawn in 5 hrs . how long does it take each of them working alone<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79739 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ron takes two hours more than paul to mow the lawn . working together they can mow the lawn in 5 hrs . how long does it take each of them working alone><BR>\n" );
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document.write( "x = number of hrs required by Paul working alone:<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(x+2) = number of hrs required by Ron working alone<BR>\n" );
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document.write( "Let the completed job = 1<BR>\n" );
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document.write( "A simple equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fx ALIGN=MIDDLE  ALT=\"5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"5%2F%28%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply equation by x(x+2) to get rid of the denominators:<BR>\n" );
document.write( "x(x+2)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fx ALIGN=MIDDLE  ALT=\"5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + x(x+2)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%28%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"5%2F%28%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = x(x+2)*1<BR>\n" );
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document.write( "Cancel out the denominators:<BR>\n" );
document.write( "5(x+2) + 5x = x(x+2)<BR>\n" );
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document.write( "5x + 10 + 5x = x^2 + 2x<BR>\n" );
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document.write( "combine like terms, arrange as a quadratic equation on the left:<BR>\n" );
document.write( "x^2 + 2x- 5x - 5x - 10 = 0<BR>\n" );
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document.write( "x^2 - 8x - 10 = 0<BR>\n" );
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document.write( "This won't readily factor, solve using the quadratic formula:<BR>\n" );
document.write( "a = 1; b = -8; c = -10<BR>\n" );
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document.write( "I assume you know how to do that;<BR>\n" );
document.write( "You should get:<BR>\n" );
document.write( "x = 9.1 hrs (Paul's time) </SPAN>\n" );
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