document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194491>Question 1194491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this :<BR>\n" );
document.write( "There are two trains. The rabbit heads north on the expressway at 45kph.<BR>\n" );
document.write( "Exactly 12 minutes after, Panther follows at a steady speed of 54kph. How<BR>\n" );
document.write( "long does it take Panther to overtake the Rabbit? <BR>\n" );
document.write( "Please Include Represent, Relate, Equate, Solve and Prove. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826709 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=826709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are two trains.<BR>\n" );
document.write( " The rabbit heads north on the expressway at 45kph. <BR>\n" );
document.write( " Exactly 12 minutes after, Panther follows at a steady speed of 54kph.<BR>\n" );
document.write( " How long does it take Panther to overtake the Rabbit? <BR>\n" );
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document.write( "Notice that when one train catches the other, they will travel the same distance<BR>\n" );
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document.write( "Change 12 min to hrs.  12/60 = .2 hrs. We need to do this because the speed is<BR>\n" );
document.write( "in km per hour<BR>\n" );
document.write( "let t = travel time (in hrs) of P<BR>\n" );
document.write( "then R leaves 12 min earlier, therefore<BR>\n" );
document.write( "(t+.4) = travel time of R<BR>\n" );
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document.write( "P's dist = R's dist<BR>\n" );
document.write( "54t = 45(t+.4) <BR>\n" );
document.write( "54t = 45t + 18<BR>\n" );
document.write( "54 - 45t = 18<BR>\n" );
document.write( "9t = 18<BR>\n" );
document.write( "t = 18/9<BR>\n" );
document.write( "t = 2 hrs for P to catch R<BR>\n" );
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document.write( "Check, find the actual dist for each, should be equal<BR>\n" );
document.write( "2 * 54 = 108 km<BR>\n" );
document.write( "2.4 * 45 = 108<BR>\n" );
document.write( " </SPAN>\n" );
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