document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269058>Question 269058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carel left the airport and drove toward the capital at an average speed of 52km/h. Some time later Mei left driving in the same direction but at am average speed of 65km/h. After driving for four hours Mei caught up with Carel. Find the number of hours Carel drove before Mei caught up. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197219 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Carel left the airport and drove toward the capital at an average speed of 52km/h. Some time later Mei left driving in the same direction but at am average speed of 65km/h. After driving for four hours Mei caught up with Carel. Find the number of hours Carel drove before Mei caught up.\r<BR>\n" );
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document.write( "let Carel leave x hours before Mei.<BR>\n" );
document.write( "Carel drives at 52kmph\r<BR>\n" );
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document.write( "------------(52x ) ------------(260-52x)\r<BR>\n" );
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document.write( "_________________:_________________________: Carel in x+4 hours\r<BR>\n" );
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document.write( "------(x hours)----------------(4 hours)\r<BR>\n" );
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document.write( "----------------------260 kms-----------------: <BR>\n" );
document.write( ":---------------------------------------------:  Mei in 4 hours<BR>\n" );
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document.write( "Distance traveled by Carel before Mei starts is 52*x\r<BR>\n" );
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document.write( "Mei caught up with Carel after 4 hours .<BR>\n" );
document.write( "Which means she drove for 260 miles. They meet at 260 km distance.\r<BR>\n" );
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document.write( "So distance travel by Carel after Mei started = 260 - 52x\r<BR>\n" );
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document.write( "Total distance traveled by carel / the time she drove = her speed.\r<BR>\n" );
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document.write( "52x+260-52x / x+4= 52\r<BR>\n" );
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document.write( "260= 52*(x+4)\r<BR>\n" );
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document.write( "260= 52x+208\r<BR>\n" );
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document.write( "260-208=52x\r<BR>\n" );
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document.write( "52=52x\r<BR>\n" );
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document.write( "x=1  hour.\r<BR>\n" );
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document.write( "So Carel drove for 5 hours when Mei caught up with her.\r<BR>\n" );
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