document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089962>Question 1089962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pat travels 70 miles on her milk route, and Bob travels 75 miles on his route. Pat travels 5 miles per hour slower than Bob, and her route takes her one half hour longer than Bob's. How fast is each one travelling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704367 by </B><A HREF=/tutors/aboutme.mpl?userid=dkppathak><B>dkppathak(439)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkppathak><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=dkppathak><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pat travels 70 miles on her milk route, and Bob travels 75 miles on his route. Pat travels 5 miles per hour slower than Bob, and her route takes her one half hour longer than Bob's. How fast is each one travelling?<BR>\n" );
document.write( "let bob travel X miles/hours and pat X-5 miles /hours<BR>\n" );
document.write( "T1=75/x<BR>\n" );
document.write( "t2=70/x-5<BR>\n" );
document.write( "t2-t1=1/2<BR>\n" );
document.write( "70/x-5-75/x=1/2<BR>\n" );
document.write( "70x-75(x-5)/x^2-5x=1/2<BR>\n" );
document.write( "(-5x+375)x2=x^2-5x<BR>\n" );
document.write( "-10x+750=X^2-5x<BR>\n" );
document.write( "x^2+5x-750=0<BR>\n" );
document.write( "x=-30 or x=25 rejecting negative value  x=25 miles/hours <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );