document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188293>Question 188293</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. Carlson took 2.5 hours to fly his airplane a distance of 360 miles against a steady wind. It took  him 2 hours to make the return trip with the wind. Find Mr. Carlons rate in calm air, and the rate of the wind . use r=d/t. \r<BR>\n" );
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document.write( "answer: Mr. Carlson files 162 miles per hourin calm air; the wind is blowing at a rate of 18 mph.\r<BR>\n" );
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document.write( "need a  full break down of how my book got this answer <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 #141153 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=141153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mr. Carlson took 2.5 hours to fly his airplane a distance of 360 miles against a steady wind. <BR>\n" );
document.write( "It took him 2 hours to make the return trip with the wind. <BR>\n" );
document.write( "Find Mr. Carlson's rate in calm air, and the rate of the wind. use r=d/t.<BR>\n" );
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document.write( "Let r = his speed in calm air<BR>\n" );
document.write( "Let w = the speed of the wind<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r+w) = his ground speed with the wind<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(r-w) = his ground speed against the wind<BR>\n" );
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document.write( "Write a distance equation for each trip: Dist = time * speed<BR>\n" );
document.write( "2.5(r-w) = 360<BR>\n" );
document.write( "2.0(r+w) = 360<BR>\n" );
document.write( "Simplify both equations, divide the 1st by 2.5 and the second by 2, results:<BR>\n" );
document.write( "r - w = 144<BR>\n" );
document.write( "r + w = 180<BR>\n" );
document.write( "-------------Addition eliminates w, find r<BR>\n" );
document.write( "2r = 324<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324%2F2 ALIGN=MIDDLE  ALT=\"324%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 162 mph in still air<BR>\n" );
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document.write( "and using r + w = 180, find w<BR>\n" );
document.write( "162 + w = 180<BR>\n" );
document.write( "w = 180 - 162<BR>\n" );
document.write( "w = 18 mph is the wind<BR>\n" );
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document.write( "Check solutions in the 1st original equation<BR>\n" );
document.write( "2.5(162 - 18) = <BR>\n" );
document.write( "2.5(144) = 360 mi, confirms our solutions<BR>\n" );
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