document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461268>Question 461268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It takes Mary 2 minutes to run a track. John can run 1 mi/hr faster than Mary and it takes him 1 minute 30 seconds to run the same track. How long is the track?\r<BR>\n" );
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document.write( "I understand that I need to somehow encompass the formula: D= rt <BR>\n" );
document.write( "Usually once I get the first few steps completed, the rest is downhill. However, I wasn't sure how to begin the problem. Thank you very much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316410 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It takes Mary 2 minutes to run a track. John can run 1 mi/hr faster than Mary and it takes him 1 minute 30 seconds to run the same track. How long is the track? <BR>\n" );
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document.write( "Convert 1 min 30 sec to 1.5 min<BR>\n" );
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document.write( "Find the speed of each person first<BR>\n" );
document.write( "Let s = M's speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+1) = J's speed<BR>\n" );
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document.write( "Write a distance equation Dist = speed * time<BR>\n" );
document.write( "M's dist = J's dist<BR>\n" );
document.write( "2s = 1.5(s+1)<BR>\n" );
document.write( "2s = 1.5s + 1.5<BR>\n" );
document.write( "2s - 1.5s = 1.5<BR>\n" );
document.write( ".5s = 1.5<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2F.5 ALIGN=MIDDLE  ALT=\"1.5%2F.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 3 mph is M's speed<BR>\n" );
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document.write( "Note that we did this using minutes, conversion to hrs (mph is used) would <BR>\n" );
document.write( "effect both sides of the equation so we can ignore it.<BR>\n" );
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document.write( "Find the distance of the track, now we have to convert min to hrs and miles to feet.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F60 ALIGN=MIDDLE  ALT=\"2%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 3(5280) = 528 ft is the length of the track<BR>\n" );
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document.write( "Check this using J's time and speed (1 mph faster than M)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2F60 ALIGN=MIDDLE  ALT=\"1.5%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > * 4(5280) = 528 ft also<BR>\n" );
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