document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=993681>Question 993681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two vehicles leave the same corner at the same time and travel at a right angle to each other. One vehicle travels 4 kilometers an hour faster than the other. If after one hour the vehicles are 20 kilometers apart, find the rate of each vehicle. \r<BR>\n" );
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document.write( "How would I set up this problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612898 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=612898\">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=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed of the slower vehicle in km/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+4+ ALIGN=MIDDLE  ALT=\"+s+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km/hr = the speed of the faster vehicle in km/hr<BR>\n" );
document.write( "<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 ( given )<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Now find the sides of the right triangle in terms of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Shorter side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+s%2At+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+s%2A1+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+s%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "Longer side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+%28+s%2B4+%29%2At+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+%28+s%2B4+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+%28+s%2B4+%29%2A1+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+%28+s%2B4+%29%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The hypotenuse of the right triangle is given as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+20+ ALIGN=MIDDLE  ALT=\"+d+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "Use Pythagoerean theorem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5E2+=+d%5B1%5D%5E2+%2B+d%5B2%5D%5E2+ ALIGN=MIDDLE  ALT=\"+d%5E2+=+d%5B1%5D%5E2+%2B+d%5B2%5D%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20%5E2+=+s%5E2+%2B+%28+s%2B4+%29%5E2+ ALIGN=MIDDLE  ALT=\"+20%5E2+=+s%5E2+%2B+%28+s%2B4+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+=+s%5E2+%2B+s%5E2+%2B+8s+%2B+16+ ALIGN=MIDDLE  ALT=\"+400+=+s%5E2+%2B+s%5E2+%2B+8s+%2B+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s%5E2+%2B+8s+-384+=+0+ ALIGN=MIDDLE  ALT=\"+2s%5E2+%2B+8s+-384+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+%2B+4s+=+192+ ALIGN=MIDDLE  ALT=\"+s%5E2+%2B+4s+=+192+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+%2B+4s+%2B+%284%2F2%29%5E2+=+192+%2B+%284%2F2%29%5E2+ ALIGN=MIDDLE  ALT=\"+s%5E2+%2B+4s+%2B+%284%2F2%29%5E2+=+192+%2B+%284%2F2%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E2+%2B+4s+%2B+4+=+192+%2B+4+ ALIGN=MIDDLE  ALT=\"+s%5E2+%2B+4s+%2B+4+=+192+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+s%2B+2+%29%5E2+=+14%5E2+ ALIGN=MIDDLE  ALT=\"+%28+s%2B+2+%29%5E2+=+14%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+2+=+14+ ALIGN=MIDDLE  ALT=\"+s+%2B+2+=+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+12+ ALIGN=MIDDLE  ALT=\"+s+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ans<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2B+4+=+16+ ALIGN=MIDDLE  ALT=\"+s%2B+4+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "The speed of the slower vehicle is 12 km/hr<BR>\n" );
document.write( "The speed of the faster vehicle is 16 km/hr<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20%5E2+=+s%5E2+%2B+%28+s%2B4+%29%5E2+ ALIGN=MIDDLE  ALT=\"+20%5E2+=+s%5E2+%2B+%28+s%2B4+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+=+12%5E2+%2B+16%5E2+ ALIGN=MIDDLE  ALT=\"+400+=+12%5E2+%2B+16%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+=+144+%2B+256+ ALIGN=MIDDLE  ALT=\"+400+=+144+%2B+256+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+=+400+ ALIGN=MIDDLE  ALT=\"+400+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );