document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251971>Question 251971</A>: <I><SPAN STYLE=\"word-break: break-all;\">   A car travels 60 miles in the same time that a car traveling 10 miles per hour faster travels 90 miles.  What is the rate of each car? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183719 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=183719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = rate of the first car.<BR>\n" );
document.write( "x+10 = rate of the second car.<BR>\n" );
document.write( "h = time in hours.\r<BR>\n" );
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document.write( "general formula is rate * time = distance\r<BR>\n" );
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document.write( "first car:\r<BR>\n" );
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document.write( "x*h = 60\r<BR>\n" );
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document.write( "second car:\r<BR>\n" );
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document.write( "(x+10)*h = 90\r<BR>\n" );
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document.write( "solve for one of the variables in the first equation in terms of the other variable and substitute in the second equation.\r<BR>\n" );
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document.write( "x*h = 60\r<BR>\n" );
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document.write( "solve for h to get:\r<BR>\n" );
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document.write( "h = 60/x\r<BR>\n" );
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document.write( "substitute in the second equation to get:\r<BR>\n" );
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document.write( "(x+10)*h = 90 becomes:\r<BR>\n" );
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document.write( "(x+10)*(60/x) = 90\r<BR>\n" );
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document.write( "multiply both sides of the equation by x to get:\r<BR>\n" );
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document.write( "(x+10)*60 = 90*x\r<BR>\n" );
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document.write( "simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "60*x + 600 = 90*x\r<BR>\n" );
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document.write( "subtract 60*x from both sides of the equation to get:\r<BR>\n" );
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document.write( "600 = 90*x - 60*x = 30*x\r<BR>\n" );
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document.write( "divide both sides of the equation by 30 to get:\r<BR>\n" );
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document.write( "x = 20\r<BR>\n" );
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document.write( "use the value of x to solve for h in the first equation.\r<BR>\n" );
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document.write( "x*h = 60 becomes:\r<BR>\n" );
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document.write( "20*h = 60\r<BR>\n" );
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document.write( "divide both sides of the equation by 20 to get:\r<BR>\n" );
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document.write( "h = 60/20 = 3\r<BR>\n" );
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document.write( "use value of x and h in the first equation to get:\r<BR>\n" );
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document.write( "x*h = 60 becomes:\r<BR>\n" );
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document.write( "20*3 = 60 which is true.\r<BR>\n" );
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document.write( "use value of x and h in the second equation to get:\r<BR>\n" );
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document.write( "(x+10)*h = 90 becomes:\r<BR>\n" );
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document.write( "(20+10)*3 = 90 \r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "30*3 = 90 which is also true.\r<BR>\n" );
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document.write( "answer is:\r<BR>\n" );
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document.write( "first car travels at 20 miles per hour.\r<BR>\n" );
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document.write( "second car travels at 30 miles per hour.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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