document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282321>Question 282321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jogger started a course at 4.5 mph.  A cyclist started the same course 1 hour later at an average speed of 14 mph.  How long after the jogger started did the cyclist take over the jogger?  Round to the nearest tenth of an hour. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204994 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=204994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A jogger started a course at 4.5 mph.  A cyclist started the same course 1 hour later at an average speed of 14 mph.  How long after the jogger started did the cyclist take over the jogger?  Round to the nearest tenth of an hour.\r<BR>\n" );
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document.write( "let the cyclist meet the jogger at a distance x from the start\r<BR>\n" );
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document.write( "He starts after 1 hour after the jogger starts\r<BR>\n" );
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document.write( "so jogger would have traveled 4.5 miles by that time.\r<BR>\n" );
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document.write( "distance traveled by jogger when cyclist meets him will be x-4.5 miles\r<BR>\n" );
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document.write( "the time they travel after cyclist starts is the same.\r<BR>\n" );
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document.write( "time taken by jogger = x-4.5 / 4.5 \r<BR>\n" );
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document.write( "time taken by cyclist = x/14\r<BR>\n" );
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document.write( "x/14 = x-4.5 /4.5\r<BR>\n" );
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document.write( "4.5x/14 = x-4.5\r<BR>\n" );
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document.write( "4.5x = 14(x-4.5)\r<BR>\n" );
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document.write( "4.5x= 14x- 63\r<BR>\n" );
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document.write( "-9.5x=-63\r<BR>\n" );
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document.write( "x= -63/-9.5\r<BR>\n" );
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document.write( "x=6.6 miles the distance they meet from the start\r<BR>\n" );
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document.write( "Time taken by jogger to jog (6.6-4.5) = 2.1 miles =  2.1/4.5= 0.46 hours\r<BR>\n" );
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document.write( "the cyclist meets the jogger after 1.46 hours after the jogger started\r<BR>\n" );
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document.write( " </SPAN>\n" );
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