document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331844>Question 331844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cyclist who walks up the hills, rides 5 times as fast as he walks. If he cycles at 16 k.m/h and walks at 4 k.m/h then find his average speed over journey. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237886 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=237886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order for this problem to make sense, I changed the word \"fast\" to \"far\"<BR>\n" );
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document.write( "A cyclist who walks up the hills, rides 5 times as far as he walks.<BR>\n" );
document.write( " If he cycles at 16 k.m/h and walks at 4 k.m/h then find his average speed over journey.<BR>\n" );
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document.write( "Let a = his average speed<BR>\n" );
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document.write( "let d = distance he walked<BR>\n" );
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document.write( "5d = distance he rode<BR>\n" );
document.write( "then<BR>\n" );
document.write( "6d = total distance<BR>\n" );
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document.write( "Write a time equation; Time = dist/speed<BR>\n" );
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document.write( "walk time + cycle time = total time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4 ALIGN=MIDDLE  ALT=\"d%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285d%29%2F16 ALIGN=MIDDLE  ALT=\"%285d%29%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286d%29%2Fa ALIGN=MIDDLE  ALT=\"%286d%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply equation by 16a, to eliminate the denominators, results<BR>\n" );
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document.write( "4ad + 5ad = 16(6d)<BR>\n" );
document.write( "9ad = 96d<BR>\n" );
document.write( "divide both sides by d<BR>\n" );
document.write( "9a = 96<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2F9 ALIGN=MIDDLE  ALT=\"96%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 10<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hr is his average speed<BR>\n" );
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document.write( "check solution by finding a value for d, assume d=5 km<BR>\n" );
document.write( "he rode 25 km, walked 5 km, total 30 km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F4 ALIGN=MIDDLE  ALT=\"5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F16 ALIGN=MIDDLE  ALT=\"25%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F10.67 ALIGN=MIDDLE  ALT=\"30%2F10.67\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.25 + 1.5625 = 2.8125; confirms our solution </SPAN>\n" );
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