document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=989007>Question 989007</A>: <I><SPAN STYLE=\"word-break: break-all;\">  To get to his cousin’s house, Mark must drive 135 km on the expressway and then 45 km along the country road. If the entire trip takes 5 hours and he can travel 3 times faster on the expressway than on the country road, how fast does he travel on the expressway? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609482 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=609482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mark must drive 135 km on the expressway and then 45 km along the country road.<BR>\n" );
document.write( " If the entire trip takes 5 hours and he can travel 3 times faster on the expressway than on the country road, how fast does he travel on the expressway? <BR>\n" );
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document.write( "Let s = his speed on the country road<BR>\n" );
document.write( "It says,\"he can travel 3 times faster on the expressway than on the country road,\" therefore:<BR>\n" );
document.write( "3s = speed on the expressway<BR>\n" );
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document.write( "Write a time equation, time = dist/speed<BR>\n" );
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document.write( "Time on Ex + Country Rd time = 5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=135%2F%283s%29 ALIGN=MIDDLE  ALT=\"135%2F%283s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2Fs ALIGN=MIDDLE  ALT=\"45%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "multiply equation on by 3s to clear the denominators<BR>\n" );
document.write( "3s*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=135%2F%283s%29 ALIGN=MIDDLE  ALT=\"135%2F%283s%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 3s*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2Fs ALIGN=MIDDLE  ALT=\"45%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5(3s)<BR>\n" );
document.write( "cancel denominators and you have<BR>\n" );
document.write( "135 + 3(45) = 15s<BR>\n" );
document.write( "135 + 135 = 15s<BR>\n" );
document.write( "270 = 15s<BR>\n" );
document.write( "s = 270/15<BR>\n" );
document.write( "s = 18 mph on country road<BR>\n" );
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document.write( "\"how fast does he travel on the expressway? \"<BR>\n" );
document.write( "3*18 = 54 mph on the expressway<BR>\n" );
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document.write( "Confirm this, find the actual time at each speed<BR>\n" );
document.write( "135/54 = 2.5 hrs<BR>\n" );
document.write( "45/18 = 2.5<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "total time: 5 hrs<BR>\n" );
document.write( " </SPAN>\n" );
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