document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295496>Question 295496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local bus finishes its 50-mile route in the same amount of time that an express bus finishes its 75-mile route. The local bus averages 15 mph slower than the express. How long does it take each bus to finish its route </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213056 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=213056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the speed of the express bus = x mph<BR>\n" );
document.write( "Then, the speed of the local bus = x-15 mph<BR>\n" );
document.write( "Given, the local bus finishes its 50-mile route in the same amount of time that an express bus finishes its 75-mile route<BR>\n" );
document.write( "So, 50/(x-15) = 75/x<BR>\n" );
document.write( "50x = 75(x-15)<BR>\n" );
document.write( "50x = 75x-1125<BR>\n" );
document.write( "1125=75x-50x<BR>\n" );
document.write( "25x = 1125<BR>\n" );
document.write( "x = 1125/25<BR>\n" );
document.write( "x = 45 mph<BR>\n" );
document.write( "x-15 = 45-15 = 30 mph<BR>\n" );
document.write( "So, the speed of the express bus = 45 mph<BR>\n" );
document.write( "and the speed of the local bus = 30 mph<BR>\n" );
document.write( "Time taken to travel the route = 75/45 = 5/3 hours = 1 h 40 min </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );