document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205185>Question 1205185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Ted and Justina took part in a race. Ted won the race 25 minutes after it started. Justina had only run 5/8 of the distance. Justinas average speed was 75 m per minute slower than Ted. What was Ted's average speed in the race<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841827 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=841827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = Ted's speed<BR>\n" );
document.write( "x-75 = Justina's speed<BR>\n" );
document.write( "Each speed is in meters per minute.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For Ted,<BR>\n" );
document.write( "distance = rate*time<BR>\n" );
document.write( "distance = (x meters per min)*(25 min)<BR>\n" );
document.write( "distance = 25x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now find the distance Justina traveled in the same 25 minute time frame.<BR>\n" );
document.write( "distance = rate*time<BR>\n" );
document.write( "distance = (x-75)*(25)<BR>\n" );
document.write( "distance = 25(x-75)<BR>\n" );
document.write( "distance = 25x-1875\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Ted ran 25x meters which is the full track.<BR>\n" );
document.write( "Justina ran 25x-1875 meters (i.e. 1875 meters less than a full track). Her distance is 5/8 of Ted's distance.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So,<BR>\n" );
document.write( "Justina's distance = (5/8)*(Ted's distance)<BR>\n" );
document.write( "25x-1875 = (5/8)*(25x)<BR>\n" );
document.write( "8(25x-1875) = 5(25x)<BR>\n" );
document.write( "200x - 15000 = 125x<BR>\n" );
document.write( "200x-125x = 15000<BR>\n" );
document.write( "75x = 15000<BR>\n" );
document.write( "x = 15000/75<BR>\n" );
document.write( "x = 200\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "200 meters per minute might sound like a lot, but it converts to roughly 7.456 mph, which is a typical average running speed. <BR>\n" );
document.write( "Sprinting speeds will likely exceed this, but keep in mind that we're talking about an overall average over the course of 25 minutes.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );