document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=735018>Question 735018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain number of hours a woman travelled 2km . If she had travelled 7km  more per hour, it would have taken her  3hr less to make the journey. How many kilometres did she travel per hour? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449250 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=449250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Actual trip:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+r%2At+ ALIGN=MIDDLE  ALT=\"+d+=+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=+2+=+r%2At+ ALIGN=MIDDLE  ALT=\"+2+=+r%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "\"what if \" trip:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+r+%2B+7+%29%2A%28+t+-+3+%29+ ALIGN=MIDDLE  ALT=\"+2+=+%28+r+%2B+7+%29%2A%28+t+-+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "There are 2 equations and 2 unknowns, <BR>\n" );
document.write( "so it's solvable<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+r%2At+%2B+7t+-+3r+-+21+ ALIGN=MIDDLE  ALT=\"+2+=+r%2At+%2B+7t+-+3r+-+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2%2Fr+ ALIGN=MIDDLE  ALT=\"+t+=+2%2Fr+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+r%2A%282%2Fr%29+%2B+7%2A%282%2Fr%29+-+3r+-+21+ ALIGN=MIDDLE  ALT=\"+2+=+r%2A%282%2Fr%29+%2B+7%2A%282%2Fr%29+-+3r+-+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+2+%2B+14%2Fr+-+3r+-+21+ ALIGN=MIDDLE  ALT=\"+2+=+2+%2B+14%2Fr+-+3r+-+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3r+%2B+21+=+14%2Fr+ ALIGN=MIDDLE  ALT=\"+3r+%2B+21+=+14%2Fr+\"   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=+3r%5E2+%2B+21r+=+14+ ALIGN=MIDDLE  ALT=\"+3r%5E2+%2B+21r+=+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3r%5E2+%2B+21r+-+14+=+0+ ALIGN=MIDDLE  ALT=\"+3r%5E2+%2B+21r+-+14+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+r+=+%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+=+3+ ALIGN=MIDDLE  ALT=\"+a+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+21+ ALIGN=MIDDLE  ALT=\"+b+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-14+ ALIGN=MIDDLE  ALT=\"+c+=+-14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+%28+-21+%2B-+sqrt%28+21%5E2+-+4%2A3%2A%28-14%29+%29%29+%2F+%282%2A3%29+ ALIGN=MIDDLE  ALT=\"+r+=+%28+-21+%2B-+sqrt%28+21%5E2+-+4%2A3%2A%28-14%29+%29%29+%2F+%282%2A3%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+=+%28+-21+%2B-+sqrt%28+441+%2B+168+%29%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+r+=+%28+-21+%2B-+sqrt%28+441+%2B+168+%29%29+%2F+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+%28+-21+%2B-+sqrt%28+609+%29%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+r+=+%28+-21+%2B-+sqrt%28+609+%29%29+%2F+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+%28+-21+%2B+24.68+%29+%2F+6+ ALIGN=MIDDLE  ALT=\"+r+=+%28+-21+%2B+24.68+%29+%2F+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+3.68%2F6+ ALIGN=MIDDLE  ALT=\"+r+=+3.68%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+.6133+ ALIGN=MIDDLE  ALT=\"+r+=+.6133+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "She traveled .6133 km/hr<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+r%2At+ ALIGN=MIDDLE  ALT=\"+2+=+r%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2%2F.6133+ ALIGN=MIDDLE  ALT=\"+t+=+2%2F.6133+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3.26+ ALIGN=MIDDLE  ALT=\"+t+=+3.26+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+r+%2B+7+%29%2A%28+t+-+3+%29+ ALIGN=MIDDLE  ALT=\"+2+=+%28+r+%2B+7+%29%2A%28+t+-+3+%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=+2+=+%28+.6133+%2B+7+%29%2A%28+3.26+-+3+%29+ ALIGN=MIDDLE  ALT=\"+2+=+%28+.6133+%2B+7+%29%2A%28+3.26+-+3+%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=+2+=+7.6133%2A.26+ ALIGN=MIDDLE  ALT=\"+2+=+7.6133%2A.26+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+1.979+ ALIGN=MIDDLE  ALT=\"+2+=+1.979+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I think the error is due to rounding off\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );