document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=688072>Question 688072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10. I am racing my sister, but I get a two minute head start. If I run 7 mph and she runs 9 mph, how long will it take for her to catch up to me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #425511 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=425511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  I am racing my sister, but I get a two minute head start. If I run 7 mph and she runs 9 mph, how long will it take for her to catch up to me?<BR>\n" );
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document.write( "change 2 minutes to hours:<BR>\n" );
document.write( "2 * 1/60 = 2/60 = 1/30 hours (head start)<BR>\n" );
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document.write( "Let t = time (in hours) when she catches up<BR>\n" );
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document.write( "applying distance formula:<BR>\n" );
document.write( "7(t+1/30) = 9t<BR>\n" );
document.write( "multiplying both sides by 30:<BR>\n" );
document.write( "7(30t+1) = 270t<BR>\n" );
document.write( "210t+7 = 270t<BR>\n" );
document.write( "7 = 60t<BR>\n" );
document.write( "7/60 hours = t<BR>\n" );
document.write( "or <BR>\n" );
document.write( "7 minutes = t<BR>\n" );
document.write( " </SPAN>\n" );
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