document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=865775>Question 865775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average speed of a car is three times as fast as a cyclist. To travel 225km, the cyclist requires 5 more hours than the car. Determine how long it took each vehicle to reach 225 km.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521844 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=521844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time in hours for the car<BR>\n" );
document.write( "to travel <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+ ALIGN=MIDDLE  ALT=\"+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+5+ ALIGN=MIDDLE  ALT=\"+t+%2B+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time in hours for the cyclist <BR>\n" );
document.write( "to travel <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+ ALIGN=MIDDLE  ALT=\"+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the cyclist in km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3s+ ALIGN=MIDDLE  ALT=\"+3s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the car in km/hr<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Equation for the cyclist:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+s%2A%28+t+%2B+5+%29+ ALIGN=MIDDLE  ALT=\"+225+=+s%2A%28+t+%2B+5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for the car:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+3s%2At+ ALIGN=MIDDLE  ALT=\"+225+=+3s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+s%2At+%2B+5s+ ALIGN=MIDDLE  ALT=\"+225+=+s%2At+%2B+5s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2At+=+225+-+5s+ ALIGN=MIDDLE  ALT=\"+s%2At+=+225+-+5s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+3%2A%28+225+-+5s+%29+ ALIGN=MIDDLE  ALT=\"+225+=+3%2A%28+225+-+5s+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+675+-+15s+ ALIGN=MIDDLE  ALT=\"+225+=+675+-+15s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15s+=+675+-+225+ ALIGN=MIDDLE  ALT=\"+15s+=+675+-+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15s+=+450+ ALIGN=MIDDLE  ALT=\"+15s+=+450+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+30+ ALIGN=MIDDLE  ALT=\"+s+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+30%2A%28+t+%2B+5+%29+ ALIGN=MIDDLE  ALT=\"+225+=+30%2A%28+t+%2B+5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%2B+5+=+7.5+ ALIGN=MIDDLE  ALT=\"+t+%2B+5+=+7.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2.5+ ALIGN=MIDDLE  ALT=\"+t+=+2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It took the car 2.5 hrs to go 225 km<BR>\n" );
document.write( "It took the cyclist 7.5 hrs to go 225 km<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+3s%2At+ ALIGN=MIDDLE  ALT=\"+225+=+3s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+3%2A30%2A2.5+ ALIGN=MIDDLE  ALT=\"+225+=+3%2A30%2A2.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+225+ ALIGN=MIDDLE  ALT=\"+225+=+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+s%2A%28+t+%2B+5+%29+ ALIGN=MIDDLE  ALT=\"+225+=+s%2A%28+t+%2B+5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+30%2A%28+2.5+%2B+5+%29+ ALIGN=MIDDLE  ALT=\"+225+=+30%2A%28+2.5+%2B+5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+30%2A7.5+ ALIGN=MIDDLE  ALT=\"+225+=+30%2A7.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+225+=+225+ ALIGN=MIDDLE  ALT=\"+225+=+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );