document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263249>Question 263249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i cant figure out how to correctly form an equation for this:\r<BR>\n" );
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document.write( "a cyclist leaves his training base for a morning workout riding at a rate of 18mph. one hour later, is support staff leaves the base in a car going 45mph in the same direction. how long will it take the support staff o catch up with the cyclist?\r<BR>\n" );
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document.write( "thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193991 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=193991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a cyclist leaves his training base for a morning workout riding at a rate of 18mph. <BR>\n" );
document.write( "one hour later, his support staff leaves the base in a car going 45mph in the same direction. <BR>\n" );
document.write( "how long will it take the support staff to catch up with the cyclist?<BR>\n" );
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document.write( "Cyclist DATA:<BR>\n" );
document.write( "rate = 18 mph ; time = x hrs ; distance = rt = 18x miles<BR>\n" );
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document.write( "Staff DATA:<BR>\n" );
document.write( "rate = 45 mph ; time = x-1 hrs ; distance = rt = 45(x-1) miles<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "cyclist distance = staff distance<BR>\n" );
document.write( "18x = 45(x-1)<BR>\n" );
document.write( "18x = 45x - 45<BR>\n" );
document.write( "27x = 45<BR>\n" );
document.write( "x = 5/3 hr (cyclist time)<BR>\n" );
document.write( "x-1 = 2/3 hr (staff time)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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