document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014642>Question 1014642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A biker traveling at his usual speed can go from his house to work in 4 hours. When the weather is bad, he travels 6 miles per hour slower, and it takes him half an hour more. How far is his work from his house?<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 #630946 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=630946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A biker traveling at his usual speed can go from his house to work in 4 hours.<BR>\n" );
document.write( " When the weather is bad, he travels 6 miles per hour slower, and it takes him half an hour more.<BR>\n" );
document.write( " How far is his work from his house?<BR>\n" );
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document.write( "let d = the distance from his house<BR>\n" );
document.write( "From the information we can say \"He takes 4hr normally, but 4.5 hrs in bad weather\"<BR>\n" );
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document.write( "Write a speed equation; speed = dist/time<BR>\n" );
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document.write( "normal speed - slower speed= 6 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4 ALIGN=MIDDLE  ALT=\"d%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4.5 ALIGN=MIDDLE  ALT=\"d%2F4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6<BR>\n" );
document.write( "multiply equation by 36 to get rid of the denominators<BR>\n" );
document.write( "36*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4 ALIGN=MIDDLE  ALT=\"d%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 36*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F4.5 ALIGN=MIDDLE  ALT=\"d%2F4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 36(6)<BR>\n" );
document.write( "Cancel the denominators<BR>\n" );
document.write( "9d - 8d = 216<BR>\n" );
document.write( "d = 216 mi to his house<BR>\n" );
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document.write( "See if that checks out, find the actual speeds<BR>\n" );
document.write( "216/4 = 54 mph<BR>\n" );
document.write( "216/4.5= 48 mph<BR>\n" );
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document.write( "difference 6 mph<BR>\n" );
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