document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254081>Question 254081</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 #186390 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><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=186390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the speed of car A be x. <BR>\n" );
document.write( "Then,the speed of car B is x-10.<BR>\n" );
document.write( "Distance travelled = 560 mile.<BR>\n" );
document.write( "Time taken by car A = 560/x<BR>\n" );
document.write( "Time taken by car B = 560/(x-10)<BR>\n" );
document.write( "Given<BR>\n" );
document.write( "         560/x -10 = 560/(x-10)<BR>\n" );
document.write( "        (5600-10x)/10x = 560/(x-10)<BR>\n" );
document.write( "        (5600-10x)(x-10) = 5600x<BR>\n" );
document.write( "        5600x-56000-10x^2+100x = 5600x<BR>\n" );
document.write( "        -10x^2+100x-56000 = 0<BR>\n" );
document.write( "        x^2-10x+5600 = 0<BR>\n" );
document.write( "        (x-80)(x+70) = 0  <BR>\n" );
document.write( "                  x  = 80  or -70<BR>\n" );
document.write( " x cannot be negative.<BR>\n" );
document.write( " So, x = 80<BR>\n" );
document.write( "Therefore,the speed of car A is 80 miles/h <BR>\n" );
document.write( "and,the speed of car B is x-10 = 80-10 = 70 miles/h </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );