document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581243>Question 581243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Leah and Rain travel 2km to the aquatic centre. Leah rides her bike while Rain rides an electric scooter. Leah's average speed is 1km/h greater than Rain's. Leah arrives at the centre 10 min before Rain. What is Rain's average speed on her scooter? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371621 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=371621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Leah and Rain travel 2km to the aquatic center.<BR>\n" );
document.write( " Leah rides her bike while Rain rides an electric scooter.<BR>\n" );
document.write( " Leah's average speed is 1km/h greater than Rain's.<BR>\n" );
document.write( " Leah arrives at the center 10 min before Rain.<BR>\n" );
document.write( " What is Rain's average speed on her scooter?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let r = Rain's speed on the scooter<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r+1) = Leah's speed on the bike<BR>\n" );
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document.write( "Change 10 min to hrs; 10/60 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Rain's time - Leah's time = 10 min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fr ALIGN=MIDDLE  ALT=\"2%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28r%2B1%29 ALIGN=MIDDLE  ALT=\"2%2F%28r%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by 6r(r+1), to clear the denominators, results:<BR>\n" );
document.write( "2*6(r+1) - 2(6r) = r(r+1)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "12r + 12 - 12r = r^2 + r<BR>\n" );
document.write( "12 = r^2 + r<BR>\n" );
document.write( "0 = r^2 + r - 12<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(r+4)(r-3) = 0<BR>\n" );
document.write( "the positive solution is what we want here<BR>\n" );
document.write( "r = 3 km/h is Rain's speed<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this out<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F4 ALIGN=MIDDLE  ALT=\"2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F12 ALIGN=MIDDLE  ALT=\"8%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F12 ALIGN=MIDDLE  ALT=\"6%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F12 ALIGN=MIDDLE  ALT=\"2%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of  mile <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );