document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254059>Question 254059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Car A and car B both travel 560 miles. Car A drove at an average speed of 10 miles per hour faster than car B and made the trip in one hour less time. Find the average speeds of both cars.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186402 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=186402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> st=d<BR>\n" );
document.write( "Let:<BR>\n" );
document.write( "s=B's speed<BR>\n" );
document.write( "t=A's time<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A) t(s+10)=560<BR>\n" );
document.write( "B) s(t+1)=560<BR>\n" );
document.write( ".<BR>\n" );
document.write( "ts+10t=ts+s<BR>\n" );
document.write( "10t=s<BR>\n" );
document.write( ".<BR>\n" );
document.write( "A)<BR>\n" );
document.write( " t(10t+10)=560<BR>\n" );
document.write( "10t^2+10t-560=0<BR>\n" );
document.write( "t^2+t-56=0 Divide each side by 10<BR>\n" );
document.write( "(t+8)(t-7)=0<BR>\n" );
document.write( "t=7 hrs for A<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B)<BR>\n" );
document.write( "s(7+1)=560<BR>\n" );
document.write( "s=70 mph for B<BR>\n" );
document.write( "s+10=80 mph for A<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );