document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268067>Question 268067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars leave an intersection. One car travels east; the other north. when the car traveling east had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading north. How far had the northbound car traveled? \r<BR>\n" );
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document.write( "Thank you for your help. I am stumped on how to set up this problem for solving.\r<BR>\n" );
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document.write( "Thank you, Nora   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196572 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi Nora---<BR>\n" );
document.write( "Lets see what we can do:<BR>\n" );
document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt;  r=d/t and t=d/r\r<BR>\n" );
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document.write( "Let d=distance that the northbound car travelled\r<BR>\n" );
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document.write( "Now know that we have a right triangle to deal with here and the distance between the two cars is the hypotenuse of the right triangle. <BR>\n" );
document.write( "The base of the right triangle (car travelling east) is 15 mi; the hypotneuse is (d+5) and the other side is d(car travelling north).\r<BR>\n" );
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document.write( "Applying the pythagorean theorem, we have:<BR>\n" );
document.write( "(d+5)^2=15^2+d^2 expand the left side and simplify<BR>\n" );
document.write( "d^2+10d+25=225+d^2 subtract d^2 and also 25 from each side<BR>\n" );
document.write( "d^2-d^2+10d+25-25=225-25+d^2-d^2 collect like terms<BR>\n" );
document.write( "10d=200 divide each side by 10<BR>\n" );
document.write( "d=20 mi-------------------distance travelled by northbound car\r<BR>\n" );
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document.write( "distance between the cars=d+5=20+5=25 mi\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "25^2=15^2+20^2<BR>\n" );
document.write( "625=225+400<BR>\n" );
document.write( "625=625\r<BR>\n" );
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document.write( "Does this help?---ptaylor\r<BR>\n" );
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