document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=303501>Question 303501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> at 2:00 p.m. a runner heads north on a highway jogging at 10mph. at 2:30 p.m. a driver heads north on the same highway to pick up the runner. if the car travels at 55 mph, how long will it take the driver to catch the runner? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #217514 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=217514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> jogger runs at 10 mph\r<BR>\n" );
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document.write( "so in half hour he goes 5 miles\r<BR>\n" );
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document.write( "Let the distance from this 5 mile point to the point they meet be x\r<BR>\n" );
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document.write( "time taken by jogger = x/10\r<BR>\n" );
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document.write( "car travels at 55 mph\r<BR>\n" );
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document.write( "it has to travel x+5 miles to catch up the jogger\r<BR>\n" );
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document.write( "time car takes = x+5 / 55\r<BR>\n" );
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document.write( "both these times are same\r<BR>\n" );
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document.write( "x+5/55 = x/10\r<BR>\n" );
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document.write( "10(x+5) = 55x\r<BR>\n" );
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document.write( "10x+50 = 55x\r<BR>\n" );
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document.write( "45x=50\r<BR>\n" );
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document.write( "x= 50/45 =10/9\r<BR>\n" );
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document.write( "time = distance / speed\r<BR>\n" );
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document.write( "distance car goes = 10/9 +5 miles\r<BR>\n" );
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document.write( "time  = 55/9  / 55\r<BR>\n" );
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document.write( "1/9 \r<BR>\n" );
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document.write( "= 1 /9\r<BR>\n" );
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document.write( "-= 1/9 *60 minutes\r<BR>\n" );
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document.write( "the truck cathches up in 6.66 minutes\r<BR>\n" );
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document.write( "ananth </SPAN>\n" );
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