document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371019>Question 371019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem. On a recent trip, Sarah's car traveled 20 mph faster on the first 140 miles than it did on the remaining 80 miles. The total time for the trip was 4 hours. Find the speed of Sarah's car on the first part of the trip. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264350 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=264350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let speed on second leg be x mph<BR>\n" );
document.write( "speed on first leg = x+20<BR>\n" );
document.write( "..<BR>\n" );
document.write( "second leg distance = 80 miles<BR>\n" );
document.write( "first leg distance = 140 miles<BR>\n" );
document.write( "..<BR>\n" );
document.write( "time first leg + time second leg = 4 hours<BR>\n" );
document.write( "...<BR>\n" );
document.write( "t= d/t<BR>\n" );
document.write( "80/x + 140/(x+20)=4<BR>\n" );
document.write( "(80(x+20)+140x)/x(x+20)=4<BR>\n" );
document.write( "80x+1600+140x=4x(x+20)<BR>\n" );
document.write( "220x +1600 = 4x^2+80x<BR>\n" );
document.write( "4x^2+80x-220x-1600=0<BR>\n" );
document.write( "4x^2-140x-1600=0<BR>\n" );
document.write( "/4<BR>\n" );
document.write( "x^2-35x-400=0<BR>\n" );
document.write( "solve for x using quadratic formula<BR>\n" );
document.write( "discriminant = 2825<BR>\n" );
document.write( "x1= (35+sqrt(2825))/2<BR>\n" );
document.write( "x2 will be negative so to be ignored<BR>\n" );
document.write( "= 44.07 mph on the second leg.<BR>\n" );
document.write( "first leg speed = x+20 = 64.07 mph\r<BR>\n" );
document.write( "\n" );
document.write( "..<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );