document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927163>Question 927163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Al is 100 yards from Bill and Bill is 300 yards from Chuck. They all move to the right at constant speeds. In 6 minutes, Al overtakes Bill and in another 6 minutes, Al overtakes Chuck. How many minutes does it take Bill to overtake Chuck? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563155 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=563155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Al is 100 yards from Bill and Bill is 300 yards from Chuck.<BR>\n" );
document.write( " They all move to the right at constant speeds.<BR>\n" );
document.write( " In 6 minutes, Al overtakes Bill and in another 6 minutes, Al overtakes Chuck.<BR>\n" );
document.write( " How many minutes does it take Bill to overtake Chuck?<BR>\n" );
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document.write( "Let a = A's speed in yds/min<BR>\n" );
document.write( "let b = B's speed<BR>\n" );
document.write( "let c = C's speed<BR>\n" );
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document.write( "  A>------100yds-------B>--------------300yds--------------C>-------<BR>\n" );
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document.write( "Write a distance equation for each, dist = time * speed<BR>\n" );
document.write( "A overtakes B in 6 min from start<BR>\n" );
document.write( "6b + 100 = 6a<BR>\n" );
document.write( "6b = 6a - 100<BR>\n" );
document.write( "b = a - 16.67<BR>\n" );
document.write( "A overtakes C in 12 min from start<BR>\n" );
document.write( "12c + 400 = 12a<BR>\n" );
document.write( "12c = 12a - 400<BR>\n" );
document.write( "c  = a - 33.33<BR>\n" );
document.write( "B overtakes C<BR>\n" );
document.write( "Let t = time for this to happen<BR>\n" );
document.write( "ct + 300 = bt<BR>\n" );
document.write( "Replace c with (a-33.33), replace b with (a-16.67)<BR>\n" );
document.write( "t(a-33.33) + 300 = t(a-16.67)<BR>\n" );
document.write( "at - 33.33t + 300 = at - 16.67t<BR>\n" );
document.write( "Subtract at from both sides<BR>\n" );
document.write( "-33.33t + 300 = - 16.67t<BR>\n" );
document.write( "300 = - 16.67t + 33.33t<BR>\n" );
document.write( "300 = +16.67t<BR>\n" );
document.write( "t = 300/16.67<BR>\n" );
document.write( "t ~ 18 min for B to overtake C </SPAN>\n" );
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