document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896280>Question 896280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars are 200 miles apart and traveling towards each other on the same road. They meet in 2 hours. One car is traveling 4 mph. faster than the other car. What is the speed of each car? (Directions for problem: Write as an equation. Don't solve!) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543415 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=543415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the distance between them is 200 miles.<BR>\n" );
document.write( "the first car travels x miles.<BR>\n" );
document.write( "the second car travels 200 - x miles which is the difference between 200 and x.<BR>\n" );
document.write( "they meet somewhere in the middle.\r<BR>\n" );
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document.write( "they both travel for 2 hours.<BR>\n" );
document.write( "the rate of the first car is y<BR>\n" );
document.write( "the rate of the second car is y - 4 because the first car is traveling 4 miles per hour faster than the second car.\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "first car travels x miles at a rate of y miles per hour.<BR>\n" );
document.write( "second car travels 200 - x miles at a rate of y - 4 miles per hour.\r<BR>\n" );
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document.write( "they both travel for 2 hours.\r<BR>\n" );
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document.write( "rate * time = distance.\r<BR>\n" );
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document.write( "for the first car this becomes y * 2 = x<BR>\n" );
document.write( "for the second car this becomes (y-4) * 2 = (200-x)\r<BR>\n" );
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document.write( "from the equation for the first car, you get x = y*2<BR>\n" );
document.write( "you can replace x in the equation for the second car by y*2 and then solve for y.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "(y-4) * 2 = (200 - x) becomes (y-4) * 2 = (200 - y*2)\r<BR>\n" );
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document.write( "that's your equation.\r<BR>\n" );
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document.write( "solve for y and you get your answer.\r<BR>\n" );
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document.write( "you should get the first car is traveling at 52 miles per hour and the second car is traveling at 48 miles per hour.\r<BR>\n" );
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document.write( "you can then solve for the distance and you should get the first car has traveled 104 miles and the second car has traveled 96 miles.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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