document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=610912>Question 610912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have gotten help from countless people with these word problems, but no one can answer them or help me solve them. \r<BR>\n" );
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document.write( "One car travels 25mph faster than another. One car can travel 300 miles in the same time it takes another car to travel 450 miles. Fond the speed of the faster car. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #384664 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=384664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write a <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;\" > equation for each car<BR>\n" );
document.write( "For the slower car:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+300+=+r%5B1%5D%2At+ ALIGN=MIDDLE  ALT=\"+300+=+r%5B1%5D%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the faster car:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+r%5B2%5D%2At+ ALIGN=MIDDLE  ALT=\"+450+=+r%5B2%5D%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B2%5D+=+r%5B1%5D+%2B+25+ ALIGN=MIDDLE  ALT=\"+r%5B2%5D+=+r%5B1%5D+%2B+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+%28+r%5B1%5D+%2B+25+%29%2At+ ALIGN=MIDDLE  ALT=\"+450+=+%28+r%5B1%5D+%2B+25+%29%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Now I have 2 equations and 2 unknowns, so it's solvable<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+r%5B1%5D%2At+%2B+25t+ ALIGN=MIDDLE  ALT=\"+450+=+r%5B1%5D%2At+%2B+25t+\"   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=+450+=+300+%2B+25t+ ALIGN=MIDDLE  ALT=\"+450+=+300+%2B+25t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25t+=+150+ ALIGN=MIDDLE  ALT=\"+25t+=+150+\"   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+=+6+ ALIGN=MIDDLE  ALT=\"+t+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this back into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450+=+r%5B2%5D%2At+ ALIGN=MIDDLE  ALT=\"+450+=+r%5B2%5D%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=+450+=+r%5B2%5D%2A6+ ALIGN=MIDDLE  ALT=\"+450+=+r%5B2%5D%2A6+\"   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%5B2%5D+=+450%2F6+ ALIGN=MIDDLE  ALT=\"+r%5B2%5D+=+450%2F6+\"   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%5B2%5D+=+75+ ALIGN=MIDDLE  ALT=\"+r%5B2%5D+=+75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The speed of the faster car is 75 mi/hr<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+300+=+r%5B1%5D%2At+ ALIGN=MIDDLE  ALT=\"+300+=+r%5B1%5D%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=+300+=+r%5B1%5D%2A6+ ALIGN=MIDDLE  ALT=\"+300+=+r%5B1%5D%2A6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+300%2F6+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+300%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5B1%5D+=+50+ ALIGN=MIDDLE  ALT=\"+r%5B1%5D+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 25 mi/hr less than the faster car, so<BR>\n" );
document.write( "answer is correct<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "The source of confusion is probably mixing up<BR>\n" );
document.write( "the data for the 2 cars. make sure you keep it straight. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );