document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1019566>Question 1019566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A biker decided to cover the distance of 120 km at a certain speed. However, he actually went 6 km/h slower so he arrived at his destination 1 hour later than he wanted to. What was the actual speed of the biker? What is the equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #635535 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=635535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A biker decided to cover the distance of 120 km at a certain speed.<BR>\n" );
document.write( " However, he actually went 6 km/h slower so he arrived at his destination 1 hour later than he wanted to.<BR>\n" );
document.write( " What was the actual speed of the biker?<BR>\n" );
document.write( " :<BR>\n" );
document.write( "let s = actual speed of the biker<BR>\n" );
document.write( "He went 6 km/hr slower, therefore<BR>\n" );
document.write( "(s+6) = speed he intended to travel<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Actual time - intended time = 1 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Fs ALIGN=MIDDLE  ALT=\"120%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F%28%28s%2B6%29%29 ALIGN=MIDDLE  ALT=\"120%2F%28%28s%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by s(s+6)<BR>\n" );
document.write( "s(s+6)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Fs ALIGN=MIDDLE  ALT=\"120%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - s(s+6)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F%28%28s%2B6%29%29 ALIGN=MIDDLE  ALT=\"120%2F%28%28s%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1s(s+6)<BR>\n" );
document.write( "cancel the denominators<BR>\n" );
document.write( "120(s+6) - 120s = s^2 + 6s<BR>\n" );
document.write( "120s + 720 - 120s = s^2 + 6s<BR>\n" );
document.write( "Form a quadratic equation on the right<BR>\n" );
document.write( "0 = s^2 + 6s - 720<BR>\n" );
document.write( "You can use the quadratic formula; a=1; b=6; c=-720, but this will factor to<BR>\n" );
document.write( "(s+30)(s-24) = 0<BR>\n" );
document.write( "the positive solution; <BR>\n" );
document.write( "s = 24 km/hr actual speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this solution; find the actual time at each speed<BR>\n" );
document.write( "120/24 = 5 hrs<BR>\n" );
document.write( "120/30 = 4 hrs<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "differs: 1 hr </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );