document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161162>Question 161162</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9781931914147/algebrahomeworkh>Crossing the River with Dogs</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hilary rode her horse for 8 miles until it was hurt.Then she walked back home to call a vet. She figures the horse wals twice as fast as she does. the whole trip took 4 hours, so how fast would Hilary have to walk? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118715 by </B><A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><B>KnightOwlTutor(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><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=KnightOwlTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation used in this problem is SpeedXTime=Distance\r<BR>\n" );
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document.write( "We know that the entire trip takes 4 hours \r<BR>\n" );
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document.write( "Let us designate x as the time that it takes the horse to travel 8 miles\r<BR>\n" );
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document.write( "4-x= is designated as the time it takes Hilary to walk back\r<BR>\n" );
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document.write( "we also know the ratio of rate 2:1\r<BR>\n" );
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document.write( "Let us set up the equation\r<BR>\n" );
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document.write( "(Distance/Time)=speed of the horse  =8/x <BR>\n" );
document.write( "(Distance/Time)=speed of Hilary =8/4-x\r<BR>\n" );
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document.write( "We need to make both sides of the eqation equal. In order to do this we need to multiply (8/4-x) by 1/2 since the horse is going 2x the speed of Hilary\r<BR>\n" );
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document.write( "8/x=(1/2)(8/4-x)\r<BR>\n" );
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document.write( "Simplify by dividing 8 by 2 so that you get 8/x=4/4-x\r<BR>\n" );
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document.write( "Cross multiply to get 8(4-x)=4x\r<BR>\n" );
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document.write( "Use the distributive property\r<BR>\n" );
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document.write( "32-8x=4x\r<BR>\n" );
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document.write( "Add 8x to both sides and get\r<BR>\n" );
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document.write( "32=12x\r<BR>\n" );
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document.write( "Divide both sides by 12\r<BR>\n" );
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document.write( "x=1.33 hours it took the horse\r<BR>\n" );
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document.write( "4-x=2.67 hours it took Hilary\r<BR>\n" );
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document.write( "2.99 or 3 miles per hour\r<BR>\n" );
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document.write( "To double check let's plug in values\r<BR>\n" );
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document.write( "Speed(Time)=8<BR>\n" );
document.write( "(3)2.67)=8.0 miles for Hillary\r<BR>\n" );
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document.write( "The horse speed is 8/1.33=6.0 mph\r<BR>\n" );
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document.write( "the horse is going 6/3 as fast as Hilary the answer is 2.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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