document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207109>Question 207109</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565771346/algebrahomeworkh>Algeba I: An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP ME WITH THE ANSWER TO THIS WORD PROBLEM:\r<BR>\n" );
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document.write( "Jordan drove to town at 50 mph and rove back home at 40 mph. What is the distance to town if the whole trip took 9 hours?\r<BR>\n" );
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document.write( "THANK YOU SO SO SO MUCH :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156576 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=156576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> going = 50 mph.<BR>\n" );
document.write( "coming back = 40 mph.<BR>\n" );
document.write( "total time = 9 hours<BR>\n" );
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document.write( "RT=D<BR>\n" );
document.write( "R = rate = miles per hour.<BR>\n" );
document.write( "T = time = hours.<BR>\n" );
document.write( "D = distance = miles.<BR>\n" );
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document.write( "let x = time it took to go<BR>\n" );
document.write( "let y = time it took to come back<BR>\n" );
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document.write( "50*x = D<BR>\n" );
document.write( "40*y = D<BR>\n" );
document.write( "x + y = T<BR>\n" );
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document.write( "since going and coming back equal the same distance, then RT going and RT coming back are equal to each other.<BR>\n" );
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document.write( "50*x = 40*y<BR>\n" );
document.write( "x = 40*y/50<BR>\n" );
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document.write( "equation of x + y = T becomes:<BR>\n" );
document.write( "40*y/50 + y = T which becomes:<BR>\n" );
document.write( "multiply both sides of this equation by 50 to get:<BR>\n" );
document.write( "40*y + 50*y = 50*T which becomes:<BR>\n" );
document.write( "y*(40+50) = 50*T which becomes:<BR>\n" );
document.write( "90*y = 50*T<BR>\n" );
document.write( "divide both sides of this equation by 90 to get:<BR>\n" );
document.write( "y = (50/90)*T which becomes:<BR>\n" );
document.write( "y = (5/9)*9 = 5<BR>\n" );
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document.write( "y = 5 hours means that x must = 4 hours because x + y = 9<BR>\n" );
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document.write( "50 * (4) = 200 miles = D<BR>\n" );
document.write( "40 * (5) = 200 miles = D<BR>\n" );
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document.write( "numbers check out.<BR>\n" );
document.write( "4 hours + 5 hours = 9 hours for the round trip.<BR>\n" );
document.write( "distance to town is 200 miles.<BR>\n" );
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