document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=444160>Question 444160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My probelm is this: A truck enters a highway driving 60mph. A car enters the highway at the same place 12 minutes later and drives 67mph in the same direction. How long before the car passes the truck?\r<BR>\n" );
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document.write( "I have My Math Lab on coursecompass.com and it kind of explains the solving process but I seem to get lost at the end. \r<BR>\n" );
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document.write( "I know that the problem needs to be set up with d(t)=60(t + 10) and d(c)=67t but after that I get lost. Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853309 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53427)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "My problem is this: A truck enters a highway driving 60mph. <BR>\n" );
document.write( "A car enters the highway at the same place 12 minutes later and drives 67mph in the same direction. <BR>\n" );
document.write( "How long before the car passes the truck?<BR>\n" );
document.write( "I have My Math Lab on coursecompass.com and it kind of explains the solving process but I seem to get lost at the end.<BR>\n" );
document.write( "I know that the problem needs to be set up with d(t)=60(t + 10) and d(c)=67t but after that I get lost. Please help.<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Calculations in the post by @mananth, related to his first solution, are incorrect.<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;His answer in the first part is wrong.<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to make a job accurately, as it should be done.\r<BR>\n" );
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document.write( "Truck 60 mph<BR>\n" );
document.write( "Car 67 mph<BR>\n" );
document.write( "Difference in time=00:12mins 0.2 hours<BR>\n" );
document.write( "Truck will have covered 0.2*60 = 12 miles before Car enters the highway. &nbsp;&nbsp;&nbsp;&nbsp;<<<---===  It is where @mananth made hist 1st error\r<BR>\n" );
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document.write( "catch up distance= 0.2 * 60 = 12 miles. &nbsp;&nbsp;&nbsp;&nbsp;<<<---===  It is where @mananth made hist 1st error<BR>\n" );
document.write( "catch up speed = 67-60 mph<BR>\n" );
document.write( "catch up speed = 7 mph\r<BR>\n" );
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document.write( "Catchup time = catchup distance/catch up speed<BR>\n" );
document.write( "catch up time= 12 / 7 = 1.7143 hours = 1 hour 43 minutes, approximately\r<BR>\n" );
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document.write( "The other method<BR>\n" );
document.write( "let the car meet after time = t hours<BR>\n" );
document.write( "time truck takes = 12 minutes more (t+0.2)hours<BR>\n" );
document.write( "Distance same<BR>\n" );
document.write( "D= r*t<BR>\n" );
document.write( "67*t = 60*(t+0.2)<BR>\n" );
document.write( "67t=60t+12<BR>\n" );
document.write( "7t= 12<BR>\n" );
document.write( "t=12/7<BR>\n" );
document.write( "1.7143 hours = 1 hour 43 minutes, approximately.<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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document.write( "As you can see, first version solution my @mananth was totally wrong, while his second version was correct,<BR>\n" );
document.write( "but he even did not notice what his first version was wrong.\r<BR>\n" );
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document.write( "So, he completely relies on his computer solution, and NEVER even re-reads what the computer creates.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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