document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105697>Question 1105697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi <BR>\n" );
document.write( "a b c were waiting to start a race.c was 150m ahead of b and a was 50m behind b. At 8am they started the race.a overtook b in 2 min.in another 3 min a overtook c. If b speed was 120m/min at what time did b overtake c, assume they all ran at a constant speed throughout the race.\r<BR>\n" );
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document.write( "thanks<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720598 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=720598\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a b c were waiting to start a race.<BR>\n" );
document.write( "c was 150m ahead of b and <BR>\n" );
document.write( "a was 50m behind b. <BR>\n" );
document.write( "At 8am they started the race.<BR>\n" );
document.write( "a overtook b in 2 min.in another 3 min a overtook c.<BR>\n" );
document.write( " If b speed was 120m/min at what time did b overtake c? <BR>\n" );
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document.write( "Find a's speed<BR>\n" );
document.write( "In 2 min b traveled 240m<BR>\n" );
document.write( "a traveled 240 + 50 = 290m in 2 min, therefore<BR>\n" );
document.write( "290/2 = 145 m/min is a's speed<BR>\n" );
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document.write( "Find c's speed<BR>\n" );
document.write( "At start c was 200m ahead of a<BR>\n" );
document.write( "It took a, 5 min to overtake c<BR>\n" );
document.write( "in 5 min a travels 5(145) = 725m<BR>\n" );
document.write( "c traveled 725 - 200 = 525m, therefore<BR>\n" );
document.write( "525/5 = 105 m/sec is c's speed<BR>\n" );
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document.write( "\"If b speed was 120m/min at what time did b overtake c?\"<BR>\n" );
document.write( "b was 150m behind c<BR>\n" );
document.write( "let t = time for b to catch c, write a dist equation (dist = speed * time)<BR>\n" );
document.write( "120t = 105t + 150<BR>\n" );
document.write( "120t - 105t = 150<BR>\n" );
document.write( "15t = 150<BR>\n" );
document.write( "t = 150/15<BR>\n" );
document.write( "t = 10 min<BR>\n" );
document.write( "b catches c at 8:10\r<BR>\n" );
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