document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019744>Question 1019744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cyclists leave from an intersection at the same time. One travels due north at a speed of 18 mph, and the other travels due east at a speed of 24 mph. How long until the distance between them is 90 miles?\r<BR>\n" );
document.write( "\n" );
document.write( "I think it's 2 hours something but cannot figure out the mathematical equation  to figure it out.  Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635684 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=635684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cyclists leave from an intersection at the same time. One travels due north at a speed of 18 mph, and the other travels due east at a speed of 24 mph. How long until the distance between them is 90 miles?<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "It's a right triangle, and the distance between is the hypotenuse.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "(18t)^2 + (24t)^2 = 90^2<BR>\n" );
document.write( "900t^2 = 8100<BR>\n" );
document.write( "t = 3 hours\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );