document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=435739>Question 435739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anna and Bea compete on a 100 meter race. Anna reached the finish line 5 seconds earlier than Bea. If Anna's speed is 1 m/s faster than Bea, find Bea's speed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301734 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=301734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Anna and Bea compete on a 100 meter race. Anna reached the finish line 5 seconds earlier than Bea. If Anna's speed is 1 m/s faster than Bea, find Bea's speed?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let x=Bea's speed in m/s<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "Bea's travel time-Anna's travel time=5 seconds<BR>\n" );
document.write( "100/x-100/(x+1)=5<BR>\n" );
document.write( "LCD:x(x+1)<BR>\n" );
document.write( "100x+100-100x=5x^2+5x<BR>\n" );
document.write( "5x^2+5x-100=0<BR>\n" );
document.write( "x^2+x-20=0<BR>\n" );
document.write( "(x+5)(x-4)=0<BR>\n" );
document.write( "x=-5 (reject)<BR>\n" );
document.write( "x=4 <BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "Bea's speed=4 m/s<BR>\n" );
document.write( "Anna's speed=4+1=5 m/s </SPAN>\n" );
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