document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848438>Question 848438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two skiers set out together on a long track, one skied a quarter of a mile per hour faster than the other and finished an hour earlier, if both skied 34 miles at what rate did each of them ski </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511144 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=511144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two skiers set out together on a long track, one skied a quarter of a mile per hour faster than the other and finished an hour earlier, <BR>\n" );
document.write( "if both skied 34 miles at what rate did each of them ski<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = speed of the 1st skier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+.25) = speed of the faster skier<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "1stskier time - fast skier time = 1 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34%2Fs ALIGN=MIDDLE  ALT=\"34%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34%2F%28%28s%2B.25%29%29 ALIGN=MIDDLE  ALT=\"34%2F%28%28s%2B.25%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by s(s+.25), to cancel the denominators, resulting in:<BR>\n" );
document.write( "34s(s+.25) - 34s = s(s+.25)<BR>\n" );
document.write( "34s + 8.5 - 34s = s^2 + .25s<BR>\n" );
document.write( "A quadratic equation <BR>\n" );
document.write( "s^2 + .25s - 8.5 = 0<BR>\n" );
document.write( "use the quadratic formula to find s, I got a postive solution of<BR>\n" );
document.write( "s = 2.793 mph, speed of the 1st skier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2.793 + .25 = 3.043 mph, speed of the faster skier<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Confirm this by finding the actual time of each.<BR>\n" );
document.write( "34/2.793 = 12.173 hrs<BR>\n" );
document.write( "34/3.043 = 11.173<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "time dif: 1 hr </SPAN>\n" );
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