document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697278>Question 697278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Mr. Norton walks for 2 miles and then cycles for 6 miles, it takes him 1 hr and 24 min to go the total distance of 8 miles....but if he walks for 5 miles and cycles for 3 miles the rates of walking and cycling being the same as before, the total time taken is 2 hr and  18 min. Find the rates of walking and cycling. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429828 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=429828\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If Mr. Norton walks for 2 miles and then cycles for 6 miles, it takes him 1 hr and 24 min to go the total distance of 8 miles<BR>\n" );
document.write( "....but if he walks for 5 miles and cycles for 3 miles the rates of walking and cycling being the same as before, the total time taken is 2 hr and 18 min.<BR>\n" );
document.write( " Find the rates of walking and cycling.<BR>\n" );
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document.write( "let w = his walking speed<BR>\n" );
document.write( "let c = cycling speed<BR>\n" );
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document.write( "change 1 hr 24 min to: 1 + 24/60 = 1.4 hrs<BR>\n" );
document.write( "change 2 hr 18 min to: 2 + 18/60 + 2.3 hrs<BR>\n" );
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document.write( "Write time equation for scenario<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fw ALIGN=MIDDLE  ALT=\"2%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fc ALIGN=MIDDLE  ALT=\"6%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fw ALIGN=MIDDLE  ALT=\"5%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fc ALIGN=MIDDLE  ALT=\"3%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply the above equation by 2wc and mult the 1st equation by wc<BR>\n" );
document.write( "10c + 6w = 4.6wc<BR>\n" );
document.write( " 2c + 6w = 1.4wc<BR>\n" );
document.write( "--------------------subtraction eliminates w, find c<BR>\n" );
document.write( "8c = 3.2wc<BR>\n" );
document.write( "divide both sides by c<BR>\n" );
document.write( "8 = 3.2w<BR>\n" );
document.write( "w = 8/3.2<BR>\n" );
document.write( "w = 2.5 mph walking speed<BR>\n" );
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document.write( "Find the cycling speed using eq: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fw ALIGN=MIDDLE  ALT=\"2%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fc ALIGN=MIDDLE  ALT=\"6%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2.5 ALIGN=MIDDLE  ALT=\"2%2F2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fc ALIGN=MIDDLE  ALT=\"6%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.4<BR>\n" );
document.write( ".8 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fc ALIGN=MIDDLE  ALT=\"6%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fc ALIGN=MIDDLE  ALT=\"6%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.4 - .8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fc ALIGN=MIDDLE  ALT=\"6%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .6<BR>\n" );
document.write( "c = 6/.6<BR>\n" );
document.write( "c = 10 mph is the cycling speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this in the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Fw ALIGN=MIDDLE  ALT=\"5%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fc ALIGN=MIDDLE  ALT=\"3%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2.5 ALIGN=MIDDLE  ALT=\"5%2F2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F10 ALIGN=MIDDLE  ALT=\"3%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "2 + .3 = 2.3 </SPAN>\n" );
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