document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174517>Question 1174517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You and your friend part at an intersection. Your friend drives away north at a constant speed. You linger at the intersection for an hour, and then drive off due east at a speed that is 11 miles per hour faster than your friend's speed. 2 hours after your friend's departure the distance between the two of you is 106 miles. Your friend is traveling at a speed of  miles per hours. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799926 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=799926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You and your friend part at an intersection.<BR>\n" );
document.write( " Your friend drives away north at a constant speed.<BR>\n" );
document.write( " You linger at the intersection for an hour, and then drive off due east at a speed that is 11 miles per hour faster than your friend's speed.<BR>\n" );
document.write( " 2 hours after your friend's departure the distance between the two of you is 106 miles.<BR>\n" );
document.write( " Your friend is traveling at a speed of miles per hours.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = friends speed mph<BR>\n" );
document.write( "since he travels 2 hrs<BR>\n" );
document.write( "2s = distance friend is from intersection<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Your travel time is only 1 hr since you started 1 hr later,<BR>\n" );
document.write( "traveling 11 mph faster, therefore<BR>\n" );
document.write( "1(s+11) = your travel distance<BR>\n" );
document.write( ":<BR>\n" );
document.write( "pythag: a^2 + b^2 = c^2, where<BR>\n" );
document.write( "a = 2s<BR>\n" );
document.write( "b = (s+11)<BR>\n" );
document.write( "c = 106<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(2s)^2 + (s+11)^2 = 106^2<BR>\n" );
document.write( "FOIL(s+11)(s+11)<BR>\n" );
document.write( "4s^2 + (s^2 + 22s + 121) = 11236<BR>\n" );
document.write( "4s^2 + s^2 + 22s + 121 - 11236 = 0<BR>\n" );
document.write( "Combine like terms, a quadratic equation<BR>\n" );
document.write( "5s^2 + 22s - 11115 = 0<BR>\n" );
document.write( "Use the quadratic formula: a=5; b=22, c=-11115<BR>\n" );
document.write( "I got a positive solution of<BR>\n" );
document.write( "s = 45 mph is your friends speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check on your calc<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2890%5E2+%2B+56%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2890%5E2+%2B+56%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 106 </SPAN>\n" );
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