document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635903>Question 635903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Cyrus start jogging from a certain point and runs 5 mph. Jaden jogs from the same point 15 minutes later at a rate of 8 mph. How long will it take that Jaden catch up to Cyrus?\n" );
document.write( "2. A truck driving east at 50 mph passes a certain mile marker. A motorcyclist also driving east passes that mile marker 45 minutes If the one motorcyclist is driving 65 mph,how long will it take for the motorcyclist to pass the truck?\n" );
document.write( "3. Two cars meet at an intersection one heading north; the other, south. If the northbound driver drives at 30 mph and the southbound driver at 40 mph, when will they be 30 miles apart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400633 by </B><A HREF=/tutors/aboutme.mpl?userid=graphmatics><B>graphmatics(170)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=graphmatics><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=graphmatics><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=400633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The distance Cyrus runs in 15 minutes is (15/60)*5=1.25 miles. Let x be the distance the two will travel after the 15 minutes then<BR>\n" );
document.write( "1.25+x/8=x/5<BR>\n" );
document.write( "40*1.25+5*x=8*x<BR>\n" );
document.write( "50=3*x<BR>\n" );
document.write( "x=16.6<BR>\n" );
document.write( "So 16.6 is the distance the two will travel before they meet. Jaden will travel this distance in (16.6+1.25)/8=17.91/8=2.24=2 hours 14.4 minutes<BR>\n" );
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document.write( "The distance the truck traveled is 65*(45/60)=48.75 miles. Let d be the distance after the marker that will have been traveled when the motorcycle meets the truck then<BR>\n" );
document.write( "45/60+d/65=d/50<BR>\n" );
document.write( "130*.75+2*d=2.6*d<BR>\n" );
document.write( "97.5=.6*d<BR>\n" );
document.write( "d=162.5<BR>\n" );
document.write( "The time the motorcycle takes to travel this distance is 2.5 hours. Adding this to the 45 minutes yields 3 hours 15 minutes<BR>\n" );
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