document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80314>Question 80314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars leave at noon from the same point, one traveling east at 50 mph, the other traveling due north at 60 mph.<BR>\n" );
document.write( "(a) How far apart are they at 1 PM? at 1:30 PM?<BR>\n" );
document.write( "(b) If t is the number of hours after noon, find an equation expressing the distance between the cars as a function of t. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57635 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (50T)^2+(60T)^2=DISTANCE ^2<BR>\n" );
document.write( "@ 1:00 THEY ARE <BR>\n" );
document.write( "(50*1)^2+(60*1)^2=D^2<BR>\n" );
document.write( "5062=60^2=D62<BR>\n" );
document.write( "2500+3600=D^2<BR>\n" );
document.write( "D^2=5100<BR>\n" );
document.write( "D=SQRT5100<BR>\n" );
document.write( "D=71.414 MILES APART @ 1:00.<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "@ 1:30 THEY WILL BE:<BR>\n" );
document.write( "(50*1.5)^2+(60*1.5)^2=D^2<BR>\n" );
document.write( "75^2+90^2=D^2<BR>\n" );
document.write( "D^2=5625+8100<BR>\n" );
document.write( "D^2=13725<BR>\n" );
document.write( "D=117.154 MILES APART @ 1:30.<BR>\n" );
document.write( "------------------------------------------------------------<BR>\n" );
document.write( "FORMULA IN TERMS OF T IS:<BR>\n" );
document.write( "(S1T)^2+(S2T)^2=D^2<BR>\n" );
document.write( "T^2(S1^2+S2^2)=D^2<BR>\n" );
document.write( "T^2=D^2/(S1^2+S2^2)<BR>\n" );
document.write( "T=(D/SQRT(S1^2+S2^2)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );