document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207393>Question 207393</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Raffaele ran 8 miles and then walked 6 miles. If he ran 5 mph faster than he walked and the total time was 2 hours, then how fast did he walk?     </SPAN>\n" );
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document.write( "Raffaele ran 8 miles and then walked 6 miles. If he ran 5 mph faster than he walked and the total time was 2 hours, then how fast did he walk?\r<BR>\n" );
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document.write( "Let Raffaele's walking rate of speed be S\r<BR>\n" );
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document.write( "Then his running rate of speed is S + 5 (he ran 5 mph faster than he walked)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Time+=+distance%2Frate ALIGN=MIDDLE  ALT=\"Time+=+distance%2Frate\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since he ran 8 miles, walked 6 miles, and did them in 2 hours, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F%28S+%2B+5%29+%2B+6%2FS+=+2 ALIGN=MIDDLE  ALT=\"8%2F%28S+%2B+5%29+%2B+6%2FS+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "8(S) + 6(S + 5) = 2(S)(S + 5) [Multiplying equation by LCD, S(S + 5)]\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8S+%2B+30+%2B+6S+=+2S%5E2+%2B+10S ALIGN=MIDDLE  ALT=\"8S+%2B+30+%2B+6S+=+2S%5E2+%2B+10S\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2S%5E2+-+4S+-+30+=+0 ALIGN=MIDDLE  ALT=\"2S%5E2+-+4S+-+30+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28S%5E2+-+2S+-+15%29=+0 ALIGN=MIDDLE  ALT=\"2%28S%5E2+-+2S+-+15%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+-+2S+-+15+=+0 ALIGN=MIDDLE  ALT=\"S%5E2+-+2S+-+15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Eliminate 2 = 0, as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%3C%3E+0 ALIGN=MIDDLE  ALT=\"2+%3C%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(S - 5)(S + 3) = 0\r<BR>\n" );
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document.write( "S = 5, or - 3 (Eliminate S = -3, as rate of speed CANNOT be negative)\r<BR>\n" );
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document.write( "Therefore, Raffaele's walking rate of speed = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%285%29 ALIGN=MIDDLE  ALT=\"highlight_green%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph\r<BR>\n" );
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document.write( " </SPAN>\n" );
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