document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134622>Question 134622</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>Algebra Structure and Method </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am sorry for asking so many math problems, but I was wondering if someone could please help me?  I would deeply appreciate it!!  Please and Thank You!!\r<BR>\n" );
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document.write( "Rate-Time-Distance Problems<BR>\n" );
document.write( "solve.<BR>\n" );
document.write( "An ultralight plane had been flying for 40 minutes when a change of wind direction doubled its ground speed.  The entire trip of 160 miles took 2 hours.  How far did the plane travel during the first 40 minutes?\r<BR>\n" );
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document.write( "I deeply appreciate all the help that the tutors have given me!!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98489 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=98489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let s be the speed during the first 40 minutes, then 2s is the speed for the last 80 minutes.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance+=+w%2A%2840%2F60%29+%2B+2w%2A%2880%2F60%29 ALIGN=MIDDLE  ALT=\"Distance+=+w%2A%2840%2F60%29+%2B+2w%2A%2880%2F60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160+=+2w%2F3+%2B+8w%2F3 ALIGN=MIDDLE  ALT=\"160+=+2w%2F3+%2B+8w%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480+=+2w+%2B+8w ALIGN=MIDDLE  ALT=\"480+=+2w+%2B+8w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=480+=+10w ALIGN=MIDDLE  ALT=\"480+=+10w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48+=+w ALIGN=MIDDLE  ALT=\"48+=+w\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "How far did the plane go in the first 40 minutes?<BR>\n" );
document.write( "Distance = rate*time = 48 * 2/3 = 32 miles.\r<BR>\n" );
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document.write( "The plane went 96*4/3 after the wind changed = 128 miles<BR>\n" );
document.write( "For a total of 32+128 = 160 miles.\r<BR>\n" );
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document.write( "That wind really helped:) </SPAN>\n" );
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