document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83704>Question 83704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem and show the work.<BR>\n" );
document.write( "Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 10 miles with the wind, and in the same amount of time runs 7 miles against the wind. What is the rate of the wind.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60181 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=60181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let r=rate of wind\r<BR>\n" );
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document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r\r<BR>\n" );
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document.write( "time it takes to run 10 mi with the wind:<BR>\n" );
document.write( "t=10/(5+r)\r<BR>\n" );
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document.write( "time it take to run 7 mi against the wind:\r<BR>\n" );
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document.write( "t=7/(5-r) \r<BR>\n" );
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document.write( "Now we are told that these two times are the same, so:\r<BR>\n" );
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document.write( "10/(5+r)=7/(5-r)  multiply both sides by(5+r)(5-r) to get rid of fractions. In other words, cross multiply:\r<BR>\n" );
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document.write( "10(5-r)=7(5+r)  get rid of parens\r<BR>\n" );
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document.write( "50-10r=35+7r subtract 7r and also 50 from both sides\r<BR>\n" );
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document.write( "50-50-10r-7r=35-50+7r-7r  collect like terms\r<BR>\n" );
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document.write( "-17r=-15 divide both sides by -17\r<BR>\n" );
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document.write( "r=0.882 mph-------------------------------------------rate of wind\r<BR>\n" );
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document.write( "ck\r<BR>\n" );
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document.write( "10/(5+0.882)=7/(5-0.882)\r<BR>\n" );
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document.write( "10/5.882=7/4.118\r<BR>\n" );
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document.write( "~1.7=~1.7\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor<BR>\n" );
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