document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230585>Question 230585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On the first part of a 317 mile trip, a sales person averaged 58 miles per hour. The sales person averaged only 52 miles per hour on the last part of the trip because of an increased volume of traffic. The total time of the trip was 5 hours and 45 minutes. Find the amount of time at each of the two speeds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170764 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=170764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: Miles Total (Mt) = 317mi, Time = 5h - 45min\r<BR>\n" );
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document.write( "Our first equation: 317mi = {X*58mi/h} + {Y*52mi/h}\r<BR>\n" );
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document.write( "I converted the minutes to hours:<BR>\n" );
document.write( "5h 45min = 5.75h     ((45m/(60m/h))=.75\r<BR>\n" );
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document.write( "Our second equation: 5.75h = X + Y\r<BR>\n" );
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document.write( "Solve the 2nd equation for X:<BR>\n" );
document.write( "5.75 = X + Y  (Subtract Y from both sides)<BR>\n" );
document.write( "5.75 - Y = X\r<BR>\n" );
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document.write( "Substitute 5.75h - Y in for X in Equation 1:<BR>\n" );
document.write( "317mi = {{5.75h - Y} * 58mi/h} + {Y * 52mi/h}<BR>\n" );
document.write( "317mi = {5.75h * 58mi/h} - {Y * 58mi/h} + {Y * 52mi/h}   Then simplify<BR>\n" );
document.write( "317mi = 333.5mi - Y*6mi/h    Then add Y*6mi/h and -317mi to both sides<BR>\n" );
document.write( "Y*6mi/h = 333.5mi - 317mi<BR>\n" );
document.write( "Y*6mi/h = 16.5mi  Then divide both sides by 6mi/h<BR>\n" );
document.write( "Y = 2.75h\r<BR>\n" );
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document.write( "Plug 2.75h in for Y in the second equation:<BR>\n" );
document.write( "5.75h = X + Y<BR>\n" );
document.write( "5.75h = X + 2.75    Subtract 2.75 from both sides<BR>\n" );
document.write( "3h = X\r<BR>\n" );
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document.write( " </SPAN>\n" );
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