document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984311>Question 984311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a circular track of 63 meters two runners run with speeds 9m/s and 7 m/s. At how many distinct meeting points will they meet?\r<BR>\n" );
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document.write( "i figured they meet every 31.5 second and i worked out that the number of distinct meeting points is 2. however, what i do not understand is this solution that you can take the ratio of the speeds in simplest form, subtract, and then get the number of distinct meeting points.\r<BR>\n" );
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document.write( "What I mean is 9-7 =2 which is your answer\r<BR>\n" );
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document.write( "Can you please derive this method.\r<BR>\n" );
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document.write( "I AM LITERALLY LOOSING it, i cannot understand how this works even though it is correct.\r<BR>\n" );
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document.write( "please help me i've been asking since yesterday.\r<BR>\n" );
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document.write( "Also if they were traveling in opposite directions the method says to add 9 and 7 which gives you 16 distinct meeting points. I don't understand this either.\r<BR>\n" );
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document.write( "I AM LITERALLY LOOSING it, I cannot understand how this works even though it is correct.\r<BR>\n" );
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document.write( "please help me i've been asking since yesterday! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #605092 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=605092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> circular track of 63 meters two runners run with speeds 9m/s and 7 m/s,<BR>\n" );
document.write( "use rate * time = distance<BR>\n" );
document.write( "a) the faster runner will complete the track in 7 seconds and the slower runner will complete the track in 9 seconds, therefore they will only meet at the beginning and the end which is 2 points.<BR>\n" );
document.write( "b) running in opposite directions, the faster runner will overlap the slower runner at 63 - 49 + 2 = 16 points<BR>\n" );
document.write( "note that the 2 is for the beginning and end<BR>\n" );
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