document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075691>Question 1075691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem : Two plans travel at right angels to each other after leaving the same airport at the same time . One hour later they are 260 miles apart .If one travels 140 miles per<BR>\n" );
document.write( "hour faster than the other .What is the rate of each ? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690350 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=690350\">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+=+1+ ALIGN=MIDDLE  ALT=\"+t+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs the planes have been flying<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate in mi/hr of the slower plane<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+%2B+140+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+%2B+140+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the rate in mi/hr of the faster plane<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r%5B1%5D%2At+%29%5E2+%2B+%28+%28+r%5B1%5D+%2B+140+%29%2At+%29%5E2+=+260%5E2+ ALIGN=MIDDLE  ALT=\"+%28+r%5B1%5D%2At+%29%5E2+%2B+%28+%28+r%5B1%5D+%2B+140+%29%2At+%29%5E2+=+260%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+r%5B1%5D%2A1+%29%5E2+%2B+%28+%28+r%5B1%5D+%2B+140+%29%2A1+%29%5E2+=+260%5E2+ ALIGN=MIDDLE  ALT=\"+%28+r%5B1%5D%2A1+%29%5E2+%2B+%28+%28+r%5B1%5D+%2B+140+%29%2A1+%29%5E2+=+260%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D%5E2+%2B+%28+r%5B1%5D+%2B+140+%29%5E2+=+260%5E2+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D%5E2+%2B+%28+r%5B1%5D+%2B+140+%29%5E2+=+260%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D%5E2+%2B+r%5B1%5D%5E2+%2B+280r%5B1%5D+%2B+19600+=+67600+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D%5E2+%2B+r%5B1%5D%5E2+%2B+280r%5B1%5D+%2B+19600+=+67600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2r%5B1%5D%5E2+%2B+280r%5B1%5D+-+48000+=+0+ ALIGN=MIDDLE  ALT=\"+2r%5B1%5D%5E2+%2B+280r%5B1%5D+-+48000+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D%5E2+%2B+140r%5B1%5D+-+24000+=+0+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D%5E2+%2B+140r%5B1%5D+-+24000+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+%28+-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+%28+-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1+ ALIGN=MIDDLE  ALT=\"+a+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+140+ ALIGN=MIDDLE  ALT=\"+b+=+140+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=-24000+ ALIGN=MIDDLE  ALT=\"+c+=-24000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+%28+-140+%2B-+sqrt%28+140%5E2-4%2A1%2A%28-24000%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+%28+-140+%2B-+sqrt%28+140%5E2-4%2A1%2A%28-24000%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+%28+-140+%2B-+sqrt%28+19600+%2B+96000+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+%28+-140+%2B-+sqrt%28+19600+%2B+96000+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+%28+-140+%2B-+sqrt%28+115600+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+%28+-140+%2B-+sqrt%28+115600+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+%28+-140+%2B+340+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+%28+-140+%2B+340+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+200%2F2+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+200%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+100+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+100+\"   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=+r%5B1%5D+%2B+140+=+100+%2B+140+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+%2B+140+=+100+%2B+140+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+%2B+140+=240+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+%2B+140+=240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Their rates are:<BR>\n" );
document.write( "100 mi/hr and<BR>\n" );
document.write( "240 mi/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=+%28+r%5B1%5D%2At+%29%5E2+%2B+%28+%28+r%5B1%5D+%2B+140+%29%2At+%29%5E2+=+260%5E2+ ALIGN=MIDDLE  ALT=\"+%28+r%5B1%5D%2At+%29%5E2+%2B+%28+%28+r%5B1%5D+%2B+140+%29%2At+%29%5E2+=+260%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+100%2A1+%29%5E2+%2B+%28+240%2A1+%29%5E2+=+260%5E2+ ALIGN=MIDDLE  ALT=\"+%28+100%2A1+%29%5E2+%2B+%28+240%2A1+%29%5E2+=+260%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10000+%2B+57600+=+67600+ ALIGN=MIDDLE  ALT=\"+10000+%2B+57600+=+67600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+67600+=+67600+ ALIGN=MIDDLE  ALT=\"+67600+=+67600+\"   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" );