document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55838>Question 55838</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395937760/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> a group of people started driving at 6 mph.  one of the cars didnt move until its started driving 10 mph.  the car caught up to the others in 5 minutes.\r<BR>\n" );
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document.write( "question:what is the distance of the group of people while the car that was behind started to catch up? what would be the expression? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37933 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=37933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A group of people started driving at 6 mph. One of the cars didn't move until it's started driving 10 mph. The car caught up to the others in 5 minutes.<BR>\n" );
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document.write( "Question:  What is the distance of the group of people while the car that was behind started to catch up? What would be the expression?<BR>\n" );
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document.write( "Since we are dealing in minutes, change the speed to miles/min:<BR>\n" );
document.write( "6 mph = 6/60 = .1 mi/min<BR>\n" );
document.write( "10 mph = 10/60 = .167 mi/min <BR>\n" );
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document.write( "When the faster car catches up with the group, they will have traveled the same distance. Dist = speed * time; <BR>\n" );
document.write( "    t = time the 1st group has traveled; <BR>\n" );
document.write( "(t-5) = time the late car has traveled;<BR>\n" );
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document.write( ".1t = .167(t-5)<BR>\n" );
document.write( ".1t = .167t - .833<BR>\n" );
document.write( ".1t - .167t = .833<BR>\n" );
document.write( "-.067t = -.833<BR>\n" );
document.write( " t = -.833/-.067<BR>\n" );
document.write( " t = 12.438 minutes when the car and the group are together<BR>\n" );
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document.write( "Group Distance = .1 * 12.438 = 1.24 mi at that time<BR>\n" );
document.write( " Car Distance  = .167 * (12.438-5) = 1.24 mi also traveling for only 7.438 min<BR>\n" );
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document.write( "1.24 mi traveled when car catches up with the group </SPAN>\n" );
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