document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734240>Question 734240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Felipe jogs for 10 miles and then walks another 10 miles. He jogs 1.5 miles per hour faster than he walks, and the entire distance of 20 miles takes 6.5 hours. Find the rate at which he walks and the rate at which he jogs.\r<BR>\n" );
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document.write( "I have no idea how to do this! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448865 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=448865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Felipe jogs for 10 miles and then walks another 10 miles.<BR>\n" );
document.write( " He jogs 1.5 miles per hour faster than he walks, and the entire distance of 20 miles takes 6.5 hours.<BR>\n" );
document.write( " Find the rate at which he walks and the rate at which he jogs. <BR>\n" );
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document.write( "Let w = his walking rate<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(w+1.5) = his jogging rate<BR>\n" );
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document.write( "Write a time equation: time = dist/speed<BR>\n" );
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document.write( "walking time + jogging time = total time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fw ALIGN=MIDDLE  ALT=\"10%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F%28%28w%2B1.5%29%29 ALIGN=MIDDLE  ALT=\"10%2F%28%28w%2B1.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6.5<BR>\n" );
document.write( "multiply equation by w(w+1.5) to get rid of the denominators<BR>\n" );
document.write( "10(w+1.5) + 10w = 6.5w(w+1.5)<BR>\n" );
document.write( "10w + 15 + 10w = 6.5w^2 + 9.75w<BR>\n" );
document.write( "combine as a quadratic equation on the right<BR>\n" );
document.write( "0 = 6.5w^2 + 9.75w - 20w - 15<BR>\n" );
document.write( "6.5w^2 - 10.25w - 15 = 0<BR>\n" );
document.write( "You will have to use the quadratic formula to find w<BR>\n" );
document.write( "I got a positive solution of 2.5 mph for walking, I have to go right now so I am leaving you with this. <BR>\n" );
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