document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29478>Question 29478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jim can run 5 miles per hour on level ground on a still day.  One windy day, he runs 15 miles with the wind and in the same amount of time runs 4 miles against the wind.  What  is the rate of the wind?<BR>\n" );
document.write( "This is what I have<BR>\n" );
document.write( "x= rate of wind<BR>\n" );
document.write( "5 + x = running with the wind<BR>\n" );
document.write( "5 - x = running against the wind<BR>\n" );
document.write( "then I have <BR>\n" );
document.write( "15/5+x = distance on a windy day running with the wind<BR>\n" );
document.write( "4/5-x = distance on a windy day running against the wind<BR>\n" );
document.write( "Am I on the right track?  When I solve for x I get a decimal of 1.89 or 1.90<BR>\n" );
document.write( "thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16292 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You were almost there<BR>\n" );
document.write( "You are given two situatiuons and the common element is time<BR>\n" );
document.write( "let r = runners rate on a still day<BR>\n" );
document.write( "let w = rate of the wind<BR>\n" );
document.write( "let t = time <BR>\n" );
document.write( "running with the wind the combined rate is<BR>\n" );
document.write( "r + w<BR>\n" );
document.write( "running against the wind the combined rate is<BR>\n" );
document.write( "r - w<BR>\n" );
document.write( "distance = rate x time<BR>\n" );
document.write( "[1] 15 = (r + w) x t<BR>\n" );
document.write( "[2] 4 = (r - w) x t<BR>\n" );
document.write( "divide both sides of [1] by (r + w)<BR>\n" );
document.write( "divide both sides of [2] by (r - w)<BR>\n" );
document.write( "15 / (r + w) = t<BR>\n" );
document.write( "4 / (r - w) = t<BR>\n" );
document.write( "since they're both equal to t, set them equal to eachother<BR>\n" );
document.write( "15/(r + w) = 4 / (r - w)<BR>\n" );
document.write( "from the problem description, r = 5<BR>\n" );
document.write( "15 / (5 + w) = 4 / (5 - w)<BR>\n" );
document.write( "cross-multiply<BR>\n" );
document.write( "15(5 - w) = 4(5 + w)<BR>\n" );
document.write( "75 - 15w = 20 + 4w<BR>\n" );
document.write( "19w = 55<BR>\n" );
document.write( "w = 2.895<BR>\n" );
document.write( "check<BR>\n" );
document.write( "15(5 - 55/19) = 4(5 + 55/19)<BR>\n" );
document.write( "15(95 - 55)/19 = 4(95 + 55)/19<BR>\n" );
document.write( "15 x 40 / 19 = 4 x 150 / 19<BR>\n" );
document.write( "multiply both sides by 19<BR>\n" );
document.write( "divide both sides by 150<BR>\n" );
document.write( "4 = 4<BR>\n" );
document.write( "OK<BR>\n" );
document.write( "where you went wrong was here<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "15/5+x = distance on a windy day running with the wind<BR>\n" );
document.write( "4/5-x = distance on a windy day running against the wind<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "sould have read <BR>\n" );
document.write( "\"TIME on a windy day running with the wind\" and<BR>\n" );
document.write( "\"TIME on a windy day running against the wind\" </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );