document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628708>Question 628708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> fran works due north of home her husband ben works due east they leave for work at the same time by the time alice is 5 miles from home the distance between them is one mile more than ralphs distance from home . how far from home is ralph? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395808 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=395808\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming that Fran & Alice are the same person<BR>\n" );
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document.write( "Fran works due north of home <BR>\n" );
document.write( "Ben works due east<BR>\n" );
document.write( "they leave for work at the same time<BR>\n" );
document.write( "by the time Alice is 5 miles from home the distance between them is one mile<BR>\n" );
document.write( " more than Ralph distance from home <BR>\n" );
document.write( "how far from home is Ralph?<BR>\n" );
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document.write( "Let r = Ralph's distance from home<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r+1) = Distance between Ralph and Fran/Alice<BR>\n" );
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document.write( "A right triangle problem a^2 + b^2 = c^2<BR>\n" );
document.write( "5^2 + r^2 = (r+1)^2<BR>\n" );
document.write( "25 + r^2 = r^2 + 2r + 1<BR>\n" );
document.write( "25 - 1 = r^2 - r^2 + 2r<BR>\n" );
document.write( "24 = 2r<BR>\n" );
document.write( "r = 24/2<BR>\n" );
document.write( "r = 12 mi is Ralph's distance from home when Fran/Alice is 13 mi from him<BR>\n" );
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document.write( "Check this on a calc: enter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%5E2%2B12%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%285%5E2%2B12%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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