document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034999>Question 1034999</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( "Mr. Albert 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 miles 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 #649732 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=649732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mr. Albert 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 miles 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 d = the distance drove to the cottage<BR>\n" );
document.write( "The return trip was 15 mi shorter, therefore:<BR>\n" );
document.write( "(d-15) = 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=d%2F45 ALIGN=MIDDLE  ALT=\"d%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d-15%29%29%2F50 ALIGN=MIDDLE  ALT=\"%28%28d-15%29%29%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .5<BR>\n" );
document.write( "multiply equation by 450, cancel the denominators and you have<BR>\n" );
document.write( "10d - 9(d-15) = 450(.5)<BR>\n" );
document.write( "10d - 9d + 135 = 225<BR>\n" );
document.write( "d = 225 - 135<BR>\n" );
document.write( "d = 90 mi to the cottage<BR>\n" );
document.write( "then obviously,<BR>\n" );
document.write( "90 - 15 = 75 mi return home<BR>\n" );
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document.write( "\"How many total miles did he travel \"<BR>\n" );
document.write( "90 + 75 = 165 mi<BR>\n" );
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document.write( "Check this out, find the actual time each way<BR>\n" );
document.write( "90/45 = 2.0 hrs<BR>\n" );
document.write( "75/50 = 1.5 hrs<BR>\n" );
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document.write( "time dif: .5 hrs </SPAN>\n" );
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