document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=359623>Question 359623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Car travels 240 mi. A second car, traveling 12 mph faster than the first, makes the same trip in 1 hour less time. Find the speed of each car </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256786 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=256786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Car travels 240 mi. A second car, traveling 12 mph faster than the first,<BR>\n" );
document.write( " makes the same trip in 1 hour less time. Find the speed of each car<BR>\n" );
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document.write( "Let s = speed of the slower car<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+12) = speed of the faster<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
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document.write( "Slow car time - fast car time = 1 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2Fs ALIGN=MIDDLE  ALT=\"240%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F%28%28s%2B12%29%29 ALIGN=MIDDLE  ALT=\"240%2F%28%28s%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
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document.write( "Multiply by s(s+12), results<BR>\n" );
document.write( "240(s+12) - 240s = s(s+12)<BR>\n" );
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document.write( "240s + 2880 - 240s = s^2 + 12s<BR>\n" );
document.write( "Combine as a quadratic equation on the right<BR>\n" );
document.write( "0 = s^2 + 12s - 2880<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(s+60)(s-48) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "s = 48 mph is the speed of the slower car<BR>\n" );
document.write( "then<BR>\n" );
document.write( "48 + 12 = 60 mph is the faster car<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the times of each <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F48 ALIGN=MIDDLE  ALT=\"240%2F48\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240%2F60 ALIGN=MIDDLE  ALT=\"240%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( " 5 - 4 = 1 hr; confirms our solutions </SPAN>\n" );
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