document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694645>Question 694645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 cars leave at the same time in the same direction.  One is going 20 mph faster than the other.  After 10 hours, they are 50 miles apart.  How fast is the faster one going?\r<BR>\n" );
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document.write( "If x is the speed of the slower vehicle, then:\r<BR>\n" );
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document.write( "distance slower car went: 10x<BR>\n" );
document.write( "distance faster car went: 10(x+20)\r<BR>\n" );
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document.write( "so 10x + 50 = 10(x+20)<BR>\n" );
document.write( "but then, 10x + 50 = 10x + 200<BR>\n" );
document.write( "and 50 = 200 (obviously not!)\r<BR>\n" );
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document.write( "what am I doing wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428113 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=428113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There's a major problem here.\r<BR>\n" );
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document.write( "If car one goes x mph for t hours, then it will travel tx miles.\r<BR>\n" );
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document.write( "If car two goes x+20 mph for t hours, then it will travel (x+20)t = tx+20t miles\r<BR>\n" );
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document.write( "The difference between the two is \r<BR>\n" );
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document.write( "(Car 2) - (Car 1)\r<BR>\n" );
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document.write( "(tx+20t) - (tx)\r<BR>\n" );
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document.write( "tx + 20t - tx\r<BR>\n" );
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document.write( "(tx - tx) + 20t\r<BR>\n" );
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document.write( "0tx + 20t\r<BR>\n" );
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document.write( "20t\r<BR>\n" );
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document.write( "So after t hours, they will be 20t miles apart. So in 10 hours, they are NOT 50 miles apart because when t = 10, 20t is 200. So they *should* be 200 miles apart in 10 hours. </SPAN>\n" );
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