document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248851>Question 248851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> okay. So i'm very confused and stuck on this problem. i really need help. here is the question: \r<BR>\n" );
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document.write( "  Diana's average driving speed is 8 miles per hour faster than Damon's. In the same lenth of time it takes Diana to drive 432 miles, Damon only drives 368 miles. for how long did diana and Damon each drive?\r<BR>\n" );
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document.write( "Please i need for someone to show the work and explain it to me so that i can understand it thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181327 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=181327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Diana's average driving speed is 8 miles per hour faster than Damon's. In the same lenth of time it takes Diana to drive 432 miles, Damon only drives 368 miles. for how long did diana and Damon each drive? <BR>\n" );
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document.write( "You need to apply the \"distance formula\":<BR>\n" );
document.write( "d = rt<BR>\n" );
document.write( "where<BR>\n" );
document.write( "d is distance<BR>\n" );
document.write( "r is rate or speed<BR>\n" );
document.write( "t is time<BR>\n" );
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document.write( "Let x = speed of Damon<BR>\n" );
document.write( "then <BR>\n" );
document.write( "x+8 = speed of Diana<BR>\n" );
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document.write( "Let t = time driven<BR>\n" );
document.write( "then<BR>\n" );
document.write( "tx = 368  (equation 1 -- Damon)<BR>\n" );
document.write( "t(x+8) = 432  (equation 2 -- Diana)<BR>\n" );
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document.write( "Solve equation 1 for x:<BR>\n" );
document.write( "tx = 368<BR>\n" );
document.write( "x = 368/t<BR>\n" );
document.write( "Substitute the above into equation 2:<BR>\n" );
document.write( "t(x+8) = 432<BR>\n" );
document.write( "t(368/t+8) = 432<BR>\n" );
document.write( "368 + 8t = 432<BR>\n" );
document.write( "8t = 64<BR>\n" );
document.write( "t = 8 hours </SPAN>\n" );
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