document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164835>Question 1164835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Aaron, Bryan and Collin were waiting to start a race. Collin was 150 m ahead of Bryan and Aaron was 50m behind Bryan. At 8am, they started the race. Aaron over took Bryan in 2min. In another 3 min, Aaron overtook Collin. If Bryan's speed was 120m/min, at what time did Bryan overtake Collin?? </SPAN>\n" );
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document.write( "Aaron, Bryan and Collin were waiting to start a race.<BR>\n" );
document.write( " Collin was 150 m ahead of Bryan and Aaron was 50m behind Bryan.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A------50--------B-------------------150------------------C<BR>\n" );
document.write( ":<BR>\n" );
document.write( " At 8am, they started the race.<BR>\n" );
document.write( " Aaron over took Bryan in 2min.<BR>\n" );
document.write( " In another 3 min, Aaron overtook Collin.<BR>\n" );
document.write( " If Bryan's speed was 120m/min, at what time did Bryan overtake Collin??<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a = A's speed in meter/min<BR>\n" );
document.write( "b = B's speed = 120 m/min<BR>\n" );
document.write( "c = C's speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "At 8am, they started the race.<BR>\n" );
document.write( " Aaron over took Bryan in 2min.<BR>\n" );
document.write( "2a = 2b + 50<BR>\n" );
document.write( "2a = 2(120) + 50<BR>\n" );
document.write( "2a = 290<BR>\n" );
document.write( "a = 290/2<BR>\n" );
document.write( "a = 145 m/min is A's speed<BR>\n" );
document.write( " In another 3 min, Aaron overtook Collin.<BR>\n" );
document.write( "That's a total travel time of 5 min<BR>\n" );
document.write( "A travels 200 more meters than C in 5 min<BR>\n" );
document.write( "5c + 200 = 5a<BR>\n" );
document.write( "Replace a with 145<BR>\n" );
document.write( "5c + 200 = 5(145)<BR>\n" );
document.write( "5c = 725 - 200<BR>\n" );
document.write( "c = 525/5<BR>\n" );
document.write( "c = 105 m/min the C's speed<BR>\n" );
document.write( " If Bryan's speed was 120m/min, at what time did Bryan overtake Collin??<BR>\n" );
document.write( "let t = time in min that B overtakes C<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" );
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document.write( "B catch C at 8:10 </SPAN>\n" );
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