document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236369>Question 236369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You travel north 5 miles then south 3 mile in the same amount of time. Your speed going south was 6 mph than going north. Find the speed each way and the amount of time spent going each direction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173996 by </B><A HREF=/tutors/aboutme.mpl?userid=JimboP1977><B>JimboP1977(311)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JimboP1977><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=JimboP1977><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=173996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We use the equation distance/time = speed. Rearranged is distance/speed = time.\r<BR>\n" );
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document.write( "D/S = T\r<BR>\n" );
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document.write( "We travelled north 5 miles in speed that is 6 mph more than we travelled south. So we can say:\r<BR>\n" );
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document.write( "5/(x+6) \r<BR>\n" );
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document.write( "Where x is the unknown speed.\r<BR>\n" );
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document.write( "We travelled south at x speed:\r<BR>\n" );
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document.write( "3/x\r<BR>\n" );
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document.write( "Now because we know that the time taken to travel these two distance was the same we can say these two equations equal each other:\r<BR>\n" );
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document.write( "5/(x+6) = 3/x\r<BR>\n" );
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document.write( "So we need to rearrange to get x on its own:\r<BR>\n" );
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document.write( "5x/(x+6) = 3\r<BR>\n" );
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document.write( "5x = 3x+18\r<BR>\n" );
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document.write( "2x = 18\r<BR>\n" );
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document.write( "x = 9\r<BR>\n" );
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document.write( "So the speed going north was 15 mph, speed going south was 9mph. Time going north was 5 miles divided by 15 mph = 1/3 hour or 20 minutes which is the same time going south.\r<BR>\n" );
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document.write( "Does that help?\r<BR>\n" );
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document.write( "Make any sense? </SPAN>\n" );
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