document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390833>Question 390833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jason and Marie both travel 900 miles. Jason drove at an average speed of 10 miles per hour faster than Marie and made the trip in one hour less time. Find the average speeds of both cars.\r<BR>\n" );
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document.write( "Jason's speed = ?mph<BR>\n" );
document.write( "Marie's speed = ?mph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #277174 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=277174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jason and Marie both travel 900 miles. Jason drove at an average speed of 10 miles per hour faster than Marie and made the trip in one hour less time. Find the average speeds of both cars.<BR>\n" );
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document.write( "Jason DATA:<BR>\n" );
document.write( "distance = 900 miles ; rate = x+10 mph ; time = 900/(x+10) hrs<BR>\n" );
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document.write( "Marie DATA:<BR>\n" );
document.write( "distance = 900 miles ; rate = x mph ; time = 900/x hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time - time = 1 hr<BR>\n" );
document.write( "900/x - 900/(x+10) = 1 hr<BR>\n" );
document.write( "900x+9000 - 900x = x(x+10)<BR>\n" );
document.write( "x^2+10x-9000 = 0<BR>\n" );
document.write( "(x+100)(x-90) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 90 mph (Marie's speed)<BR>\n" );
document.write( "x+10 = 100 mph (Jason's speed)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( "Jason's speed = ?mph<BR>\n" );
document.write( "Marie's speed = ?mph<BR>\n" );
document.write( " </SPAN>\n" );
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