document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182430>Question 182430</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321331892/algebrahomeworkh>prealgebra and introductory algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A motorcycle breaks down and the rider must walk the rest of the way to work.  The motorcycle was being driven at 45 mph, and the rider walks at a speed of 6 mph.  The distance from home to work is 25 mi, and the total time for the trip was 2 hrs. How far did the motorcycle go before it broke down? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136917 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=136917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A motorcycle breaks down and the rider must walk the rest of the way to work. The motorcycle was being driven at 45 mph, and the rider walks at a speed of 6 mph. The distance from home to work is 25 mi, and the total time for the trip was 2 hrs. How far did the motorcycle go before it broke down?<BR>\n" );
document.write( "---------------------------------------------------------------------<BR>\n" );
document.write( "Walking DATA:<BR>\n" );
document.write( "distance = x miles ; rate = 6 mph ; time = x/6 hrs<BR>\n" );
document.write( "----------------------------------------------------<BR>\n" );
document.write( "Motocycle DATA:<BR>\n" );
document.write( "rate = 45 mph ; distance = (25-x) mi ; time = (25-x)/45 hrs<BR>\n" );
document.write( "----------------------------------------------------------<BR>\n" );
document.write( "Equation : <BR>\n" );
document.write( "time + time = 2 hrs<BR>\n" );
document.write( "x/6 + (25-x)/45 = 2\r<BR>\n" );
document.write( "\n" );
document.write( "45x + 6(25-x) = 2*6*45\r<BR>\n" );
document.write( "\n" );
document.write( "45x + 150 - 6x = 6*90<BR>\n" );
document.write( "39x = 540 - 150\r<BR>\n" );
document.write( "\n" );
document.write( "39x = 390<BR>\n" );
document.write( "x = 10 miles (distance walked)<BR>\n" );
document.write( "25-x = 15 miles (distance ridden)<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );