document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202697>Question 1202697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cyclist leaves his training base for a morning workout, riding at the rate of 16 mph. One and one-half hours later, his support staff leaves the base in a car going 40 mph in the same direction. How long will it take the support staff to catch up with the cyclist? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837749 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A cyclist leaves his training base for a morning workout, riding at the rate of 16 mph. <BR>\n" );
document.write( "One and one-half hours later, his support staff leaves the base in a car going 40 mph <BR>\n" );
document.write( "in the same direction. How long will it take the support staff to catch up with the cyclist?<BR>\n" );
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document.write( "Let t be the time for the support staff to catch up the cyclist\r\n" );
document.write( "So, x is the unknown value under the problems question.\r\n" );
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document.write( "Thus the support staff moves during t hours;\r\n" );
document.write( "the cyclist moves during (t+1.5) hours.\r\n" );
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document.write( "The travel distance is the same for both of them\r\n" );
document.write( "So, we write the distance equation\r\n" );
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document.write( "    40*t = 16(t+1.5).\r\n" );
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document.write( "The equation is ready. To solve it, simplify step by step\r\n" );
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document.write( "    40t = 16t + 24\r\n" );
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document.write( "    40t - 16t = 24\r\n" );
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document.write( "       24t    = 24\r\n" );
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document.write( "         t    = 24/24 = 1 hour.\r\n" );
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document.write( "<U>ANSWER</U>.  The support staff will catch up with the cyclist in 1 hour.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "For simple Travel & Distance problems, &nbsp;see introductory lessons \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems.lesson>Travel and Distance problems</A>  \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/travel/Travel-and-Distance-problems-for-two-bodies-moving-toward-each-other.lesson>Travel and Distance problems for two bodies moving in opposite directions</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/travel/Typical-catching-up-Travel-and-Distance-problems.lesson>Travel and Distance problems for two bodies moving in the same direction (catching up)</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "They are written specially for you.\r<BR>\n" );
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document.write( "You will find the solutions of many similar problems there.\r<BR>\n" );
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document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r<BR>\n" );
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document.write( "Become an expert in this area.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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