document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67215>Question 67215</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565770390/algebrahomeworkh>Advanced mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> On the 24-mile trip to school, Brandon sauntered at a leisurely pace.  Thus, he had to double his speed on the way back to complete the trip in 9 hours.  How fast did he travel in each direction, and what were the two times? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47807 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=his speed to school<BR>\n" );
document.write( "Then 2x=his speed back\r<BR>\n" );
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document.write( "We are told that the total trip (to & back) is 48 mi\r<BR>\n" );
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document.write( "We are also told that the time to school plus the time back equals 9 hours\r<BR>\n" );
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document.write( "We'll use the formula: distance(d) =rate(r) times time (t) or d=rt and<BR>\n" );
document.write( "t=d/r\r<BR>\n" );
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document.write( "time to school:  24/x\r<BR>\n" );
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document.write( "time from school: 24/2x\r<BR>\n" );
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document.write( "Our equation to solve is<BR>\n" );
document.write( "24/x+24/(2x)=9  multiply through by x<BR>\n" );
document.write( "24(x/x)+24(x/2x)=9x simplifying<BR>\n" );
document.write( "24+12=9x\r<BR>\n" );
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document.write( "9x=36<BR>\n" );
document.write( "x=4 miles per hour ---------speed to school<BR>\n" );
document.write( "time to school:  24/x=24/4=6 hours-----------time to school\r<BR>\n" );
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document.write( "2x=2*4=8 miles per hour---------------rate from school<BR>\n" );
document.write( "time from school: 24/2x=24/8=3 hours ----time from school\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "6 hours + 3 hours = 9 hours\r<BR>\n" );
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document.write( "8 miles per hour = 2 times 4 miles per hour\r<BR>\n" );
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document.write( "Hope this helps ----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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