document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155496>Question 155496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a bicylce race, Lionel gives Robert a 500 m advantafe. Also, Lionel agrees to start 15 min after Rivert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take lionel after he starts biking to overtake Robert? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114558 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=114558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a bicycle race, Lionel gives Robert a 500 m advantage. Also, Lionel agrees to start 15 min after Rivert. If Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take Lionel after he starts biking to overtake Robert?<BR>\n" );
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document.write( "Convert 500m to km: = .5 km<BR>\n" );
document.write( "Convert 15 min to hrs: = .25 hrs<BR>\n" );
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document.write( "Let t = time for L to overtake R<BR>\n" );
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document.write( "Write a dist equation: Dist = speed * speed<BR>\n" );
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document.write( "L's dist = R's dist + .5 km + dist in .25 hr<BR>\n" );
document.write( "16t = 14t + .5 + (.25*14)<BR>\n" );
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document.write( "16t = 14t + .5 + 3.5<BR>\n" );
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document.write( "16t - 14t = 4<BR>\n" );
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document.write( "3t = 4<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 1<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs for L to catch R<BR>\n" );
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document.write( "Check by finding the distance:<BR>\n" );
document.write( "1.33*17 = 22.61<BR>\n" );
document.write( "1.33*14 = 18.62<BR>\n" );
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document.write( "differs =  3.99 ~ 4 km head-start to be overcome by L </SPAN>\n" );
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