document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209401>Question 209401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Smith travels 45 miles going East from the center of the town and Jones travels 70 miles going West from the same point. If Jones averages 5 miles per hour more than Smith and his trip took ½ hour longer than Smith’s. How fast was each of them traveling?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158383 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=158383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Smith travels 45 miles going East from the center of the town and Jones travels <BR>\n" );
document.write( "70 miles going West from the same point. <BR>\n" );
document.write( "If Jones averages 5 miles per hour more than Smith and his trip took ½ hour <BR>\n" );
document.write( "longer than Smith’s.<BR>\n" );
document.write( "How fast was each of them traveling?<BR>\n" );
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document.write( "Let s = Smith's speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+5) = Jones speed<BR>\n" );
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document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Jones time = Smith's time + half hour<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F%28s%2B5%29 ALIGN=MIDDLE  ALT=\"70%2F%28s%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2Fs ALIGN=MIDDLE  ALT=\"45%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 2s(s+5), results<BR>\n" );
document.write( "2s(70) = 45(2(s+5)) + s(s+5)<BR>\n" );
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document.write( "140s = 90s + 450 + s^2 + 5s<BR>\n" );
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document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "0 = -140s + 90s + 5s + 450 + s^2<BR>\n" );
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document.write( "s^2 - 45s + 450 = 0<BR>\n" );
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document.write( "Factors to<BR>\n" );
document.write( "(s-30)(s-15) = 0<BR>\n" );
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document.write( "Two valid solutions<BR>\n" );
document.write( "s = 30 mph<BR>\n" );
document.write( "s = 15 mph<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check solution using 15 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F20 ALIGN=MIDDLE  ALT=\"70%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F15 ALIGN=MIDDLE  ALT=\"45%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3.5 = 3 + .5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check it using s = 30 mph<BR>\n" );
document.write( "  </SPAN>\n" );
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