document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64259>Question 64259</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028253337/algebrahomeworkh>Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A ship travels from New York to Southampton,England at 33 mph. A plane traveling 605 mph takes 104 hours less to make the same trip. How far apart are the two cities? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44940 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=44940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We'll let x=amount of time it takes the ship travelliing at 33mph<BR>\n" );
document.write( "then x-104=amount of time it takes the plane travelling at 605mph\r<BR>\n" );
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document.write( "we'll use the formula: Distance (d)=(rate(r))(time(t)) or d=rt\r<BR>\n" );
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document.write( "we know that both the ship and the plane travel the same distance which is the distance between the two cities:\r<BR>\n" );
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document.write( "rt(ship)=rt(plane)<BR>\n" );
document.write( "rt of ship is 33x and<BR>\n" );
document.write( "rt of plane is 605(x-104) so our equation to solve is:\r<BR>\n" );
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document.write( "33x=605(x-104)<BR>\n" );
document.write( "33x=605x-62,920 simplifying we get:<BR>\n" );
document.write( "-572x=-62,920<BR>\n" );
document.write( "x=110 hours is the time it takes the ship<BR>\n" );
document.write( "x-104=110=104=6 hours is the time it takes the plane\r<BR>\n" );
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document.write( "rt (ship)=distance between the two cities = 33(110)=3630 miles<BR>\n" );
document.write( "or<BR>\n" );
document.write( "rt (plane)=distance between the two cities = 605(6)=3630 miles\r<BR>\n" );
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document.write( "Hope this helps.  Happy holidays.----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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