document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712246>Question 712246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. My name is Allen and I'm having trouble with this word problem from my Calculus class. Thanks in advance.\r<BR>\n" );
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document.write( " Car A and car B both travel 300 miles. Car A drove at an average speed of 10 miles per hour faster than car B 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( "Car A = ________ mph<BR>\n" );
document.write( "Car B = ________ mph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437818 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=437818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Car A and car B both travel 300 miles. <BR>\n" );
document.write( "Car A drove at an average speed of 10 miles per hour faster than car B and made the trip in one hour less time. <BR>\n" );
document.write( "Find the average speeds of both cars.<BR>\n" );
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document.write( "Car A DATA: <BR>\n" );
document.write( "distance = 300 miles ; rate = x+10 mph ; time = d/r = 300/(x+10) hrs<BR>\n" );
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document.write( "Car B DATA:<BR>\n" );
document.write( "distance = 300 miles ; rate = x mph ; time = d/r = 300/x hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time B - time A = 1 hour<BR>\n" );
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document.write( "300/x - 300/(x+10) = 1<BR>\n" );
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document.write( "300x + 300*10 - 300x = x(x+10)<BR>\n" );
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document.write( "x^2 + 10x -3000 = 0<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "(x+60)(x-50) = 0<BR>\n" );
document.write( "x = 50 mph (Car B speed)<BR>\n" );
document.write( "x+10 = 60 mph (Car A speed)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "Car A = ________ mph<BR>\n" );
document.write( "Car B = ________ mph<BR>\n" );
document.write( " </SPAN>\n" );
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