document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014794>Question 1014794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car traveled at a steady speed for 105 miles. Because of traffic, the driver had to cut her speed in half for the next 42 miles. The total time for the trip was 2 hours and 42 minutes. Find the original speed.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631203 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = constant original speed, in miles per hour.\r<BR>\n" );
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document.write( "Then for first 105 miles, with a rate of x mph, the time traveled was 105/x hours.  (From the formula t = distance/speed.)\r<BR>\n" );
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document.write( "The last 42 miles was traveled at a rate of x/2 mph as given, so the time traveled is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%2F%28x%2F2%29 ALIGN=MIDDLE  ALT=\"42%2F%28x%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or 84/x hours.\r<BR>\n" );
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document.write( "Hence, as mentioned in the problem, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105%2Fx%2B+84%2Fx+=+2.7 ALIGN=MIDDLE  ALT=\"105%2Fx%2B+84%2Fx+=+2.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=189%2Fx+=+2.7 ALIGN=MIDDLE  ALT=\"189%2Fx+=+2.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F189+=+1%2F2.7 ALIGN=MIDDLE  ALT=\"x%2F189+=+1%2F2.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+189%2F2.7 ALIGN=MIDDLE  ALT=\"x+=+189%2F2.7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, after cross-multiplication.\r<BR>\n" );
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document.write( "Thus, x = 70 mph, the original speed. </SPAN>\n" );
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