document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153441>Question 153441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Logan & Madison went on a 7 hour trip. Together they drove a total of 428.5 miles. Logan averaged 58 mph and Madison averaged 63 mph. How long did Madison drive? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112968 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=112968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose Madison drove for t hours, then Logan drove for 7 - t hours.<BR>\n" );
document.write( "Madison drove for 63t miles.<BR>\n" );
document.write( "Logan drove for 58(7-t) miles<BR>\n" );
document.write( "The total was 63t + 58(7-t).<BR>\n" );
document.write( "As the total distance traveled is 428.5 miles, we have:<BR>\n" );
document.write( "63t + 58(7-t)=428.5<BR>\n" );
document.write( "Solving for t, we have:<BR>\n" );
document.write( "63t + 406 - 58t = 428.5<BR>\n" );
document.write( "5t = 22.5<BR>\n" );
document.write( "t = 22.5/5<BR>\n" );
document.write( "t = 4.5<BR>\n" );
document.write( "So Madison drove for 4.5 hours.<BR>\n" );
document.write( " </SPAN>\n" );
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