document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883280>Question 883280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Albert and Bob ran a race of 440 yards. In the first trial, Albert gave Bob a headstart of 65 yards and won by 20 seconds. In the second trial, Albert gave Bob a headstart of 34 seconds and Bob won by 8 yards. Find the speeds of Albert and Bob in yards per second.<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 #533488 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=533488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Albert and Bob ran a race of 440 yards.<BR>\n" );
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document.write( "Let a = A's speed<BR>\n" );
document.write( "Let b = B's speed<BR>\n" );
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document.write( "In the first trial, Albert gave Bob a headstart of 65 yards and won by 20 seconds.<BR>\n" );
document.write( "Write at time equation; time = dist/speed<BR>\n" );
document.write( "B only ran 440 - 65 = 375 yds<BR>\n" );
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document.write( "b's time - a's time = 20 sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=375%2Fb ALIGN=MIDDLE  ALT=\"375%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2Fa ALIGN=MIDDLE  ALT=\"440%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20<BR>\n" );
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document.write( "In the second trial, Albert gave Bob a headstart of 34 seconds and Bob won by 8 yards.<BR>\n" );
document.write( "B ran 440 - 8 = 432 yrds<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=432%2Fb ALIGN=MIDDLE  ALT=\"432%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2Fa ALIGN=MIDDLE  ALT=\"440%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 34<BR>\n" );
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document.write( "We can use elimination here<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=432%2Fb ALIGN=MIDDLE  ALT=\"432%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2Fa ALIGN=MIDDLE  ALT=\"440%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 34<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=375%2Fb ALIGN=MIDDLE  ALT=\"375%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2Fa ALIGN=MIDDLE  ALT=\"440%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20<BR>\n" );
document.write( "--------------Subtraction eliminates a, find b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=57%2Fb ALIGN=MIDDLE  ALT=\"57%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 14<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=57%2F14 ALIGN=MIDDLE  ALT=\"57%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 4.07 yds/sec is B's running speed<BR>\n" );
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document.write( "Find a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=432%2F4.07 ALIGN=MIDDLE  ALT=\"432%2F4.07\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2Fa ALIGN=MIDDLE  ALT=\"440%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 34<BR>\n" );
document.write( "106.14 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2Fa ALIGN=MIDDLE  ALT=\"440%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 34<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2Fa ALIGN=MIDDLE  ALT=\"440%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 34 - 106.14<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2Fa ALIGN=MIDDLE  ALT=\"440%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 72.14<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2F72.14 ALIGN=MIDDLE  ALT=\"440%2F72.14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 6.1 yds/sec is A's running speed<BR>\n" );
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document.write( "See if this works<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=375%2F4.07 ALIGN=MIDDLE  ALT=\"375%2F4.07\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2F6.1 ALIGN=MIDDLE  ALT=\"440%2F6.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20<BR>\n" );
document.write( "92 - 72 = 20\r<BR>\n" );
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