document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173626>Question 173626</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128477 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=128477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?<BR>\n" );
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document.write( "Most-trip DATA:<BR>\n" );
document.write( "distance = x miles ; rate = 60 mph ; time = d/r = x/60 hrs.<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Slow part DATA:<BR>\n" );
document.write( "distance = 280-x miles ; rate = 10 mph ; time = d/r = (280-x)/10 hrs<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "time + time = 8 hrs.<BR>\n" );
document.write( "x/60 + (280-x)/10 = 8<BR>\n" );
document.write( "Multiply thru by 60 to get:\r<BR>\n" );
document.write( "\n" );
document.write( "x + 6(280-x) = 480<BR>\n" );
document.write( "-5x = 480 - 6*280\r<BR>\n" );
document.write( "\n" );
document.write( "-5x = -1200<BR>\n" );
document.write( "x = 240 miles (distance traveled at 60 mph)<BR>\n" );
document.write( "280-x = 40 miles (distance traveled at 10 mph)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );