document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321880>Question 321880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My brain is fried studying for finals and I'm stumped on 2 word problems that are seemingly simple. \r<BR>\n" );
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document.write( "1. A small plane went 240 miles in 3 hours flying against the wind and the same amount of time to go 300 miles with the wind.  What was the speed of the plane without the wind? \r<BR>\n" );
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document.write( "2. It takes Danny 3 times as long to mow a field as it takes his father.  Together they can mow the same field in 4 hours.  How long does it take Danny working alone?\r<BR>\n" );
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document.write( "Please and thank you,<BR>\n" );
document.write( "\"An A math student who just can't think anymore\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230431 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=230431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. A small plane went 240 miles in 3 hours flying against the wind and the same amount of time to go 300 miles with the wind. What was the speed of the plane without the wind?<BR>\n" );
document.write( "240/3 = 80 mph<BR>\n" );
document.write( "300/3 = 100 mph<BR>\n" );
document.write( "The airspeed of the plane is the average, 90 mph.<BR>\n" );
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document.write( "2. It takes Danny 3 times as long to mow a field as it takes his father. Together they can mow the same field in 4 hours. How long does it take Danny working alone? <BR>\n" );
document.write( "Danny takes 3x hours<BR>\n" );
document.write( "Father takes x hours<BR>\n" );
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document.write( "Danny does 1/3x of the field per hour.<BR>\n" );
document.write( "His father does 1/x per hour.<BR>\n" );
document.write( "Together, they do 1/(3x) + 1/x per hour, = 4/(3x) fields per hour.<BR>\n" );
document.write( "4/(3x) fields per hour --> 3x/4 hours per field<BR>\n" );
document.write( "3x/4 = 4<BR>\n" );
document.write( "3x = 16<BR>\n" );
document.write( "x = 16/3<BR>\n" );
document.write( "Danny takes 3x, = 16 hours.<BR>\n" );
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