document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115867>Question 115867</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565771397/algebrahomeworkh>Test Form Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The question is this:  \"If Aaron and Jessica walked 2 mph to the docks, then road a jet boat for 46 mph to see Jeff and if the total distance was 21 mile and the total time was 5 hours...How far did they travel by boat?\r<BR>\n" );
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document.write( "I tried this question by first dividing the MPH by 60 min (1 hour)...\r<BR>\n" );
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document.write( "1. 60min (1 hr)/46mph = 1.30434...  then I multiplied that by 5 hrs and got 6.5217 for the miles  Would this be correct????\r<BR>\n" );
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document.write( "Danyelle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84323 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=84323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'M HAVING A HARD TIME FOLLOWING WHAT YOU DID, DANYELLE.  SEE IF YOU CAN FOLLOW WHAT I DID. <BR>\n" );
document.write( "First, lets start by setting up the problem (identifying the unknowns and the quantities that are equal, etc.) so we know where we are at any given time as we as we proceed towards a solution:\r<BR>\n" );
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document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r\r<BR>\n" );
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document.write( "Let d=distance travelled by boat (that's what the problem is asking for)<BR>\n" );
document.write( "Now we know that distance walked plus distance travelled by boat equals 21 mi (we are told this in the problem)<BR>\n" );
document.write( "So 21-d=distance walked \r<BR>\n" );
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document.write( "amount of time spent walking=(21-d)/2<BR>\n" );
document.write( "amount of time spent in the boat=d/46<BR>\n" );
document.write( "Now we are told that the above two times adds up to 5 hrs so our equation to solve is:\r<BR>\n" );
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document.write( "(21-d)/2+d/46=5   multiply each term by 46\r<BR>\n" );
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document.write( "23(21-d)+d=230 get rid of parens<BR>\n" );
document.write( "483-23d+d=230  subtract 483 from each side\r<BR>\n" );
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document.write( "483-483-23d+d=230-483  collect like terms\r<BR>\n" );
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document.write( "-22d=-253  divide both sides by -22<BR>\n" );
document.write( "d=11.5 mi---------------------------------distance travelled by boat<BR>\n" );
document.write( "21-d=21-11.5=9.5 mi---------------------------distance walked\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "9.5+11.5=21<BR>\n" );
document.write( "21=21<BR>\n" );
document.write( "also\r<BR>\n" );
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document.write( "9.5/2+11.5/46=5<BR>\n" );
document.write( "4.75+0.25=5<BR>\n" );
document.write( "5=5\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
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