document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67697>Question 67697</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618044302/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> At 10:00AM a car left the service station on Route 209 heading south at 86knh.  At 10:30 AM another car left the station and headed south at 80kmh.  At what time were the cars 55km apart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48151 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "We'll first determine how many hours it takes for the cars to be 55 km apart and then add that to 10:30 AM to get our answer\r<BR>\n" );
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document.write( "When the difference between the distances the two cars will have traveled equals 55 km, then we will have our answer \r<BR>\n" );
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document.write( "distance(d) =rate(r)  times  time(t) or d=rt and t=d/r\r<BR>\n" );
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document.write( "Let x=number of hours that the 10:30 car has driven when they are 55 km apart<BR>\n" );
document.write( "Then x+0.5= number of hours that the 10:00 car has driven \r<BR>\n" );
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document.write( "distance 10:30 car will have driven=80x<BR>\n" );
document.write( "distance 10:00 car will have driven=86(x+0.5)\r<BR>\n" );
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document.write( "so our equation to solve is:\r<BR>\n" );
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document.write( "86(x+0.5)-80x=55  clear parens\r<BR>\n" );
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document.write( "86x+43-80x=55  subtract 43 from both sides<BR>\n" );
document.write( "6x=12<BR>\n" );
document.write( "x=2  hours\r<BR>\n" );
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document.write( "10:30 AM plus 2 hours=12:30 PM-----------------------answer we are looking for\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "86*2+43= 215km\r<BR>\n" );
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document.write( "80*2=160km<BR>\n" );
document.write( "215 km -160km=55km----------ck\r<BR>\n" );
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document.write( " </SPAN>\n" );
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