document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163874>Question 1163874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distance between town P and Q was 540 km. A car started from town P travelling at a speed of 100km/h  towards town Q.At the same time,a van started from town Q travelling towards town P at a speed of 80 km/h. Find the distance travelled by the car when they pass each other. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788113 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=788113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Car 1 starts at point P and goes 100 km/h toward town Q. The distance traveled here is <BR>\n" );
document.write( "d = r*t<BR>\n" );
document.write( "d = 100t\r<BR>\n" );
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document.write( "Car 2 will travel a distance of<BR>\n" );
document.write( "d = r*t<BR>\n" );
document.write( "d = 80t<BR>\n" );
document.write( "for similar reasoning, just with a different speed value of course.\r<BR>\n" );
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document.write( "Together the two distance expressions add to 100t+80t = 180t to represent the total distance traveled. When the two cars meet, this total distance must be 540\r<BR>\n" );
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document.write( "I recommend drawing a number line to plot P and Q at the endpoints. Somewhere in between those endpoints, plot point R. Point R is where the two cars meet. Segment PR has a distance of 100t while QR is of length 80t. The total is 180t as found above and this total must be equal to PR = 540.\r<BR>\n" );
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document.write( "So our equation to solve is<BR>\n" );
document.write( "180t = 540<BR>\n" );
document.write( "which becomes<BR>\n" );
document.write( "t = 3<BR>\n" );
document.write( "after dividing both sides by 180\r<BR>\n" );
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document.write( "The last step is to plug this t value into each distance expression<BR>\n" );
document.write( "100t = 100*3 = 300 is the distance car 1 travels<BR>\n" );
document.write( "80t = 80*3 = 240 is the distance car 2 travels\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "The car starting at point P traveled 300 miles<BR>\n" );
document.write( "The car starting at point Q traveled 240 miles<BR>\n" );
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