document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123681>Question 123681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need help with this word problem please!<BR>\n" );
document.write( " A motorist drove 150 miles on the country road before driving 50 miles on the mountain road. The rate of speed on the country roads was 3 times the rate on the mountain roads. The time spent traveling the 200 miles was 5 hours. Find the rate of the motorist on the country road.<BR>\n" );
document.write( "THANK YOU! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90727 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=90727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A motorist drove 150 miles on the country road before driving 50 miles on the mountain road. The rate of speed on the country roads was 3 times the rate on the mountain roads. The time spent traveling the 200 miles was 5 hours. Find the rate of the motorist on the country road.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Country road DATA:<BR>\n" );
document.write( "Distance = 150 miles ; rate = 3x mph ; time = 150/3x = 50/x hrs.<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Mountainroad DATA:<BR>\n" );
document.write( "Distance = 50 miles ; rate = x mph ; time = 50/x hrs<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "time + time = 5 hrs<BR>\n" );
document.write( "50/x + 50/x = 5<BR>\n" );
document.write( "100/x = 5 <BR>\n" );
document.write( "Invert to get:<BR>\n" );
document.write( "x/100 = 1/5<BR>\n" );
document.write( "x = 20 mph (rate on the mountain road)<BR>\n" );
document.write( "3x = 60 mph (rate on the country road)<BR>\n" );
document.write( "============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );