document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77183>Question 77183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then how fast did each of them drive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55303 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=55303\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then how fast did each of them drive?<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Leon DATA:<BR>\n" );
document.write( "distance= 270 mi ; rate= x mph ; time=270/x hrs<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Pat DATA:<BR>\n" );
document.write( "distance = 330 mi ; rate= x+10 mph ; time = 330/(x+10)<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( " time = time<BR>\n" );
document.write( "270/x = 330/(x+10)<BR>\n" );
document.write( "9(x+10) = 11x<BR>\n" );
document.write( "9x+90 = 11x<BR>\n" );
document.write( "2x=90<BR>\n" );
document.write( "x=45 mph (Leon's rate)<BR>\n" );
document.write( "x+10= 55 mph (Pat's rate)<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );