document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908937>Question 908937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One runner passes another runner traveling in the same direction on a hiking trail. The faster runner is jogging 2 miles per hour faster than the slower runner. Determine how long it will be before the faster runner is 0.75 miles ahead of the slower runner. \r<BR>\n" );
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document.write( "What I have is r+2 would be part of the equation but I haven't figured out how to set up the problem correctly.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551396 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let runner A be the faster runner\r<BR>\n" );
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document.write( "Runner A: speed of r+2\r<BR>\n" );
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document.write( "Runner B: speed of r\r<BR>\n" );
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document.write( "Let's say we start the clock/stopwatch at the moment runner A passes runner B. Put another way, we can think of it as they are both starting at the same time at a starting line in a race. At the starting point, t = 0\r<BR>\n" );
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document.write( "Both runners are running for the same length of time (t) according to the time modeling described above. Let t be time in hours.\r<BR>\n" );
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document.write( "Distance runner A has ran: D = (r+2)*t = r*t + 2*t\r<BR>\n" );
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document.write( "Distance runner B has ran: D = r*t = r*t\r<BR>\n" );
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document.write( "Subtract those distances: (Runner A) - (Runner B) = (rt + 2t) - (rt) = 2t\r<BR>\n" );
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document.write( "This difference is 2t\r<BR>\n" );
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document.write( "We want to know when the difference is 0.75 miles, so \r<BR>\n" );
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document.write( "2t = 0.75\r<BR>\n" );
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document.write( "t = 0.75/2\r<BR>\n" );
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document.write( "t = 0.375\r<BR>\n" );
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document.write( "It will take 0.375 hours\r<BR>\n" );
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document.write( "0.375 hours = 0.375*60 = 22.5 minutes\r<BR>\n" );
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document.write( "22.5 minutes = 22 minutes, 30 seconds\r<BR>\n" );
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document.write( "There are multiple ways to answer, but I'd go with <font color=\"red\">22 minutes, 30 seconds</font>\r<BR>\n" );
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document.write( "So it takes <font color=\"red\">22 minutes, 30 seconds</font> for runner A to be 0.75 miles ahead of runner B. </SPAN>\n" );
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