document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=566100>Question 566100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A commuter bus takes 2 hours to get downtown; an express bus, averaging 25mph faster, takes 45 minutes to cover the same route.  What is the average speed for the commuter bus? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366110 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=366110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A commuter bus takes 2 hours to get downtown; an express bus, averaging 25mph faster, takes 45 minutes to cover the same route.  What is the average speed for the commuter bus?<BR>\n" );
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document.write( "Let s = the speed of the commuter bus<BR>\n" );
document.write( "Let d = the distance traveled by both buses<BR>\n" );
document.write( "Since distance = speed x time, we can write:<BR>\n" );
document.write( "d = 2s [for the commuter bus]<BR>\n" );
document.write( "d = 3/4(s+25) [for the express bus; 45 min. = 3/4 hr; 25 mph faster]<BR>\n" );
document.write( "Equating the RHS's gives<BR>\n" );
document.write( "2s = 3/4(s+25)<BR>\n" );
document.write( "Solve for s:<BR>\n" );
document.write( "2s - (3/4)s = 75/4<BR>\n" );
document.write( "5s/4 = 75/4<BR>\n" );
document.write( "s = 75/5 = 15 mph<BR>\n" );
document.write( "Ans: 15 mph </SPAN>\n" );
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