document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37145>Question 37145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP!!! I have worked this problem and can't get it.\r<BR>\n" );
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document.write( "Problem:\r<BR>\n" );
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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 4 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 #22828 by </B><A HREF=/tutors/aboutme.mpl?userid=mbarugel><B>mbarugel(146)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mbarugel><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22828\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "We must use the following relationship in order to answer this:\r<BR>\n" );
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document.write( "If an object is moving at a speed of V miles per hour, then the time (in hours) it takes to travel a distance D (in miles) is D/V.\r<BR>\n" );
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document.write( "Now, we know that Jim can run at 5 mph without wind. Let's call X to the speed of the wind. So Jim's speed is 5 + X mph when he goes with the wind, and 5 - X mph when he goes against it.\r<BR>\n" );
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document.write( "Using the aforementioned relationship, and the fact that he takes the same time to make 10 miles with the wind and 4 miles against the wind, we get the following equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F%285%2BX%29+=+4%2F%285-X%29 ALIGN=MIDDLE  ALT=\"10%2F%285%2BX%29+=+4%2F%285-X%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we just isolate X:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50+-+10X+=+20+%2B+4X ALIGN=MIDDLE  ALT=\"50+-+10X+=+20+%2B+4X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30+=+14X ALIGN=MIDDLE  ALT=\"30+=+14X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+=+30%2F14+=+2.1428 ALIGN=MIDDLE  ALT=\"X+=+30%2F14+=+2.1428\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the speed of the wind is 2.1428... mph. \r<BR>\n" );
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document.write( "I hope this helps!<BR>\n" );
document.write( "Get more answers at <a  rel=nofollow HREF=http://www.onlinemathanswers.com>Online Math Answers.com</a>!<BR>\n" );
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