document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034135>Question 1034135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve. Round to the nearest tenth of necessary\r<BR>\n" );
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document.write( "Me. Truman drove to his cottage in the mountains at a rate of 45 mi/hr. On the way back he drove at a rate of 50 mi/hr but took a route 15 mo shorter than the route by which he traveled to the cottage. How many total miles did he travel if it took him 1/2 hr longer to go than to return? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648854 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=648854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Truman drove to his cottage in the mountains at a rate of 45 mi/hr.<BR>\n" );
document.write( " On the way back he drove at a rate of 50 mi/hr but took a route 15 mi shorter than the route by which he traveled to the cottage.<BR>\n" );
document.write( " How many total miles did he travel if it took him 1/2 hr longer to go than to return?<BR>\n" );
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document.write( "let m = the distance driven to the cottage<BR>\n" );
document.write( "The return was 15 mi shorter, therefore;<BR>\n" );
document.write( "(m-15) = the return distance<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "To time - return time = .5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2F45 ALIGN=MIDDLE  ALT=\"m%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28m-15%29%29%2F50 ALIGN=MIDDLE  ALT=\"%28%28m-15%29%29%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .5<BR>\n" );
document.write( "get rid of the denominator, multiply eq by 450, cancel the denominators and you have.<BR>\n" );
document.write( "10m - 9(m-15) = 450(.5)<BR>\n" );
document.write( "10m - 9m + 135 = 225<BR>\n" );
document.write( "m = 225 - 135<BR>\n" );
document.write( "m = 90 mi to the cottage<BR>\n" );
document.write( "then<BR>\n" );
document.write( "90 - 15 = 75 mi return<BR>\n" );
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document.write( "Total dist driven: 90 + 75 = 165 mi<BR>\n" );
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document.write( "Check this by finding the actual time each way<BR>\n" );
document.write( "90/45 = 2.0 hr to the cottage<BR>\n" );
document.write( "75/50 = 1.5 hr return<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Time dif: .5 hrs </SPAN>\n" );
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