document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785596>Question 785596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 9 mi, the distance between the cars was 3 mi more than the distance traveled by the car heading east. How far had the east bound car traveled? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477625 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=477625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cars leave an intersection. One car travels north; the other east.<BR>\n" );
document.write( " When the car traveling north had gone 9 mi, the distance between the cars was 3 mi more than the distance traveled by the car heading east.<BR>\n" );
document.write( " How far had the east bound car traveled?<BR>\n" );
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document.write( "Let e = distance traveled by the eastbound car<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(e+3) = distance between e and northbound car after it travels 9 mi<BR>\n" );
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document.write( "This is a pythag problem, a^2 + b^2 = c^2, where<BR>\n" );
document.write( "a = 9<BR>\n" );
document.write( "b = e<BR>\n" );
document.write( "c = (e+3)<BR>\n" );
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document.write( "9^2 + e^2 = (e+3)^2<BR>\n" );
document.write( "81 + e^2 = e^2 + 6e + 9<BR>\n" );
document.write( "Subtract e^2 from both sides<BR>\n" );
document.write( "81 = 6e + 9<BR>\n" );
document.write( "81 - 9 = 6e<BR>\n" );
document.write( "72 = 6e<BR>\n" );
document.write( "e = 72/6<BR>\n" );
document.write( "e = 12 mi traveled by the east car when they were 12+3 = 15 mi apart<BR>\n" );
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document.write( "Check using your calc, enter<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%5E2+%2B+12%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%289%5E2+%2B+12%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > results: 15 </SPAN>\n" );
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