document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214967>Question 214967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cyclists start biking from a trail 3 hours apart. The 2nd cyclist traveled at 10 miles per hour and starts 3 hours after the 1st cyclist who is traveling at 6 miles per hour. How much time will pass before the 2nd cyclist catches up with the 1st cyclist from the time the 2nd cyclist started?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162434 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cyclists start biking from a trail 3 hours apart. The 2nd cyclist traveled at 10 miles per hour and starts 3 hours after the 1st cyclist who is traveling at 6 miles per hour. How much time will pass before the 2nd cyclist catches up with the 1st cyclist from the time the 2nd cyclist started? \r<BR>\n" );
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document.write( "Step 1.  Let x be the time 2nd cyclist catches up with the 1st cyclist.\r<BR>\n" );
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document.write( "Step 2.  Let 6x+18  total distance traveled by first cyclist and where 3 hours * 6 mph =18 miles travels after three hours plus 6x miles.\r<BR>\n" );
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document.write( "Step 3.  Let 10x distance traveled by 2nd cyclist.\r<BR>\n" );
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document.write( "Step 4.  Set expression in Steps 2 and 3 to be equal since they will have traveled the same distance.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B18=10x ALIGN=MIDDLE  ALT=\"6x%2B18=10x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=18 ALIGN=MIDDLE  ALT=\"4x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4.5+hours ALIGN=MIDDLE  ALT=\"x=4.5+hours\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.  It will take 4.5 hours to for the second cyclist to catch up with the first cyclist.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J<BR>\n" );
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