document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134600>Question 134600</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>Algebra Structure and Method </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have been working on this math problem and I got an answer, but I am not sure if it is right!! I was wondering if someone could help me?  I would deeply appreciate it!! Please and Thank you!!\r<BR>\n" );
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document.write( "Rate-Time-Distance Problems<BR>\n" );
document.write( "Solve.<BR>\n" );
document.write( "Jan can run at 7.5m/s and Mary at 8.0m/s.  On a race track Jan is given a 25m head start, and the race ends in a tie.  How long is the track?<BR>\n" );
document.write( "My chart<BR>\n" );
document.write( "      r   *   t  =d<BR>\n" );
document.write( "Jan  7.5      t  =7.5t+25<BR>\n" );
document.write( "Mary 8.0      t  =8.0t<BR>\n" );
document.write( "7.5t+25=8.0t<BR>\n" );
document.write( "-7.5t   -7.5t<BR>\n" );
document.write( "     25=.5t<BR>\n" );
document.write( "divide by .5 and I got 50 then I times that by 8.0 and got 400miles<BR>\n" );
document.write( "I don't know if I am right, but I hope someone could help me!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98466 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=98466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jan can run at 7.5m/s and Mary at 8.0m/s. On a race track Jan is given a 25m head start, and the race ends in a tie. How long is the track?<BR>\n" );
document.write( "My chart<BR>\n" );
document.write( "r * t =d<BR>\n" );
document.write( "Jan:  7.5 t =7.5t+25<BR>\n" );
document.write( "Mary 8.0 t =8.0t<BR>\n" );
document.write( "7.5t+25=8.0t<BR>\n" );
document.write( "-7.5t -7.5t<BR>\n" );
document.write( "25=.5t<BR>\n" );
document.write( "divide by .5 and I got 50 then I times that by 8.0 and got 400miles<BR>\n" );
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document.write( "Jan can run at 7.5m/s and Mary at 8.0m/s. On a race track Jan is given a 25m head start, and the race ends in a tie. How long is the track?<BR>\n" );
document.write( "Jan DATA:<BR>\n" );
document.write( "rate = 60*7.5 meter/minute ; time = \"t+ (25/60)\" minutes ; distance = 450(t+(25/60)) = (450t + 187.5) meters<BR>\n" );
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document.write( "Mary DATA:<BR>\n" );
document.write( "rate = 60*8 meters/min ; time = t minutes : distance = 480t meters<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "distance = distance<BR>\n" );
document.write( "450t+187.5 = 480t<BR>\n" );
document.write( "30t = 187.5<BR>\n" );
document.write( "t = 6.25 minutes<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "How long is the track?<BR>\n" );
document.write( "distance = 6.25 min * 480 meters/min = 3000 meters or 3 kilometers<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );