document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029768>Question 1029768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> scooter travels 12 miles in the same time that a bicycle covers 5 miles. if the rate of the scooter is 2 mph more than twice the rate of the bicycle find both rates </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644713 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=644713\">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 hrs for <BR>\n" );
document.write( "both scooter and bicycle<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+ ALIGN=MIDDLE  ALT=\"+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate of the bicycle in mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r+%2B+2+ ALIGN=MIDDLE  ALT=\"+2r+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate of the scooter in mi/hr<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Equation for the bicycle:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+r%2At+ ALIGN=MIDDLE  ALT=\"+5+=+r%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for the scooter:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%28+2r+%2B+2+%29%2At+ ALIGN=MIDDLE  ALT=\"+12+=+%28+2r+%2B+2+%29%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=+t+=+5%2Fr+ ALIGN=MIDDLE  ALT=\"+t+=+5%2Fr+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this result into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%28+2r+%2B+2+%29%2A%28+5%2Fr+%29+ ALIGN=MIDDLE  ALT=\"+12+=+%28+2r+%2B+2+%29%2A%28+5%2Fr+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+ ALIGN=MIDDLE  ALT=\"+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12r+=+10r+%2B+10+ ALIGN=MIDDLE  ALT=\"+12r+=+10r+%2B+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r+=+10+ ALIGN=MIDDLE  ALT=\"+2r+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+5+ ALIGN=MIDDLE  ALT=\"+r+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r+%2B+2+=+2%2A5+%2B+2+ ALIGN=MIDDLE  ALT=\"+2r+%2B+2+=+2%2A5+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r+%2B+2+=+12+ ALIGN=MIDDLE  ALT=\"+2r+%2B+2+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "The rate of the bicycle is 5 mi/hr<BR>\n" );
document.write( "The rate of the scooter is 12 mi/hr<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+r%2At+ ALIGN=MIDDLE  ALT=\"+5+=+r%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+=+5%2At+ ALIGN=MIDDLE  ALT=\"+5+=+5%2At+\"   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+=+1+ ALIGN=MIDDLE  ALT=\"+t+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+=+%28+2r+%2B+2+%29%2At+ ALIGN=MIDDLE  ALT=\"+12+=+%28+2r+%2B+2+%29%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=+12+=+%28+2%2A5+%2B+2+%29%2At+ ALIGN=MIDDLE  ALT=\"+12+=+%28+2%2A5+%2B+2+%29%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=+12+=+12t+ ALIGN=MIDDLE  ALT=\"+12+=+12t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1+ ALIGN=MIDDLE  ALT=\"+t+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );