document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=9701>Question 9701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On Saturday morning, Lynn walked for 2 hours and then ran for 30 minutes. If she ran twice as fast as she walked and she covered 12 miles altogether, then how fast did she walk? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5254 by </B><A HREF=/tutors/aboutme.mpl?userid=prince_abubu><B>prince_abubu(198)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prince_abubu><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=5254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If she ran and walked, she must have a running speed and a walking speed. Let's call these R and W, running and walking respectively.\r<BR>\n" );
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document.write( "They tell us that her running speed is double her walking speed. That translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+2W+ ALIGN=MIDDLE  ALT=\"+R+=+2W+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The running speed is already faster. It makes sense to \"inflate\" the slower walking speed by multiplying it by 2 to match the running speed.\r<BR>\n" );
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document.write( "We are going to use that formula rate x time = distance, keeping in mind that we have to add up her walking distance and running distance to cover the total 12 miles. Her walking distance would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2W+ ALIGN=MIDDLE  ALT=\"+2W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > because she would be walking at W mph for two hours. Her running distance would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0.5%282W%29+ ALIGN=MIDDLE  ALT=\"+0.5%282W%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Remember that we have the relationship <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+=+2W+ ALIGN=MIDDLE  ALT=\"+R+=+2W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > so we simply replaced the R with a 2W in the running distance expression. The 0.5 would be equivalent to the 30 minutes. Since we're working with hours and miles per hour, we need to convert the minutes to hours.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2W+%2B+0.5%282W%29+=+12+ ALIGN=MIDDLE  ALT=\"+2W+%2B+0.5%282W%29+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <------- Start\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2W+%2B+W+=+12+ ALIGN=MIDDLE  ALT=\"+2W+%2B+W+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3W+=+12+ ALIGN=MIDDLE  ALT=\"+3W+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+4+ ALIGN=MIDDLE  ALT=\"+W+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- Her walking speed is 4 mph. If her running speed was double that, the running speed would be 8 mph. </SPAN>\n" );
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