document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=589218>Question 589218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bicycle race covers a 75-mile training route to prepare for an upcoming race. If the racer could increase his average spees by 5 mph, he could complete the same course in 3/4 of the time. Find his average speed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374762 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=374762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bicycle race covers a 75-mile training route to prepare for an upcoming race. If the racer could increase his average spees by 5 mph, he could complete the same course in 3/4 of the time. Find his average speed.<BR>\n" );
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document.write( "Let s = the average speed<BR>\n" );
document.write( "Let t = the time to complete the course<BR>\n" );
document.write( "Then we can write<BR>\n" );
document.write( "s = 75/t -> t = 75/s<BR>\n" );
document.write( "s + 5 = 75/(3/4t) = 100/t<BR>\n" );
document.write( "Eliminate t and solve for s:<BR>\n" );
document.write( "s + 5 = 100/(75/s)<BR>\n" );
document.write( "s + 5 = 4s/3<BR>\n" );
document.write( "s = 15<BR>\n" );
document.write( "So the average speed is s = 15 mph </SPAN>\n" );
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