document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31886>Question 31886</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534463770/algebrahomeworkh>Beginning and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Boy do I need help! Here's the problem: An airplane can fly downwind a distance of 600miles in 2hrs. However, the return trip against the same wind takes three hours. Find the speed of the wind.\r<BR>\n" );
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document.write( "I tried to make a chart and ended up that the wind was going 250 miles an hour and I don't think that sounds right. Any help would be really appreciated. Thank you,Liz </SPAN>\n" );
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document.write( "When the airplane flies downwind, the speed of the wind is added to the one of the plane. When it's going against the wind, then it should be subtracted.\r<BR>\n" );
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document.write( "Let's call X to the speed of the plane (\"without wind\") and Y to the speed of the wind. So we get the following equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+%2B+Y+=+600%2F2+=+300 ALIGN=MIDDLE  ALT=\"X+%2B+Y+=+600%2F2+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When going downwind, the final speed of the plane (plane + wind) is 300 mph, because it travels 600 mph in 2 hours.\r<BR>\n" );
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document.write( "The other fact is that when going against the wind takes 3 hours, so its speed is 200 mph (600 miles in 3 hours). So we get the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+-+Y+=+200 ALIGN=MIDDLE  ALT=\"X+-+Y+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's find Y, which is what we're interested in. Isolate X from the 2nd equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+=+200+%2B+Y ALIGN=MIDDLE  ALT=\"X+=+200+%2B+Y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And then replace this X into the first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%2B+Y=300 ALIGN=MIDDLE  ALT=\"X%2B+Y=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2BY%2BY=300 ALIGN=MIDDLE  ALT=\"200%2BY%2BY=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2Y+=+300+-+200+=+100 ALIGN=MIDDLE  ALT=\"2Y+=+300+-+200+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y+=+50 ALIGN=MIDDLE  ALT=\"Y+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the speed of the wind is 50 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" );
document.write( " </SPAN>\n" );
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