document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269634>Question 269634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a motorist drove 150 miles on country roads before driving 50 miles on mountain roads. the rate of speed on the country roads was 3 times the rate on mountain roads. the time spent traveling the 200 miles was 5 hours. find the rate of the motorist on country roads?\r<BR>\n" );
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document.write( "i let x=rate of the motorist on mountain road<BR>\n" );
document.write( "and 3x rate of the motirist on country roads\r<BR>\n" );
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document.write( "i set up the equation x/200 - 3x/200 = 5 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197606 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=197606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a motorist drove 150 miles on country roads before driving 50 miles on mountain roads. <BR>\n" );
document.write( "the rate of speed on the country roads was 3 times the rate on mountain roads.<BR>\n" );
document.write( "the time spent traveling the 200 miles was 5 hours. <BR>\n" );
document.write( "find the rate of the motorist on country roads?<BR>\n" );
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document.write( "Country Road DATA:<BR>\n" );
document.write( "distance = 150 miles ; rate = 3x mph ; time = d/r = 150/(3x) = 50/x hrs.<BR>\n" );
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document.write( "Mountain Road DATA:<BR>\n" );
document.write( "distance = 50 miles ; rate = x mph ; time = d/r = 50/x hrs<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "time + time = 5 hrs<BR>\n" );
document.write( "2(50/x) = 5<BR>\n" );
document.write( "100/x = 5<BR>\n" );
document.write( "5x = 100<BR>\n" );
document.write( "x = 20 mph on mountain Roads<BR>\n" );
document.write( "3x = 60 mph on country Roads<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "i let x=rate of the motorist on mountain road<BR>\n" );
document.write( "and 3x rate of the motirist on country roads <BR>\n" );
document.write( "i set up the equation x/200 - 3x/200 = 5 <BR>\n" );
document.write( "Comment: x/200 is time/distance = rate<BR>\n" );
document.write( "But 5 is time<BR>\n" );
document.write( "You need an equation that says time + time = time.<BR>\n" );
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