document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151830>Question 151830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> With a certain tail wind a jet air craft arrives at its destination 1,890 miles away in 3 hours. Flying against the same wind, the plane makes the return trip in 3 3/8 hours. Find the windspeed and airspeed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111648 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=111648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With a certain tail wind a jet air craft arrives at its destination 1,890 miles away in 3 hours. Flying against the same wind, the plane makes the return trip in 3 3/8 hours. Find the windspeed and airspeed.<BR>\n" );
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document.write( "Let x = airspeed<BR>\n" );
document.write( "Let y = windspeed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+y) = speed with the wind<BR>\n" );
document.write( "(x-y) = speed against the wind<BR>\n" );
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document.write( "Write distance equations for each trip: Dist = time * speed<BR>\n" );
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document.write( "3(x+y) = 1890<BR>\n" );
document.write( "Simplify, divide equation by 3<BR>\n" );
document.write( "x + y = 1890/3<BR>\n" );
document.write( "x + y = 630<BR>\n" );
document.write( "y = (630-x)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x - y) = 1890<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F8 ALIGN=MIDDLE  ALT=\"27%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x - y) = 1890<BR>\n" );
document.write( "Multiply eq by 8 to get rid of the denominator<BR>\n" );
document.write( "27(x - y) = 8*1890<BR>\n" );
document.write( "27x - 27y = 15120<BR>\n" );
document.write( "Substitute (630-x) for y:<BR>\n" );
document.write( "27x - 27(630-x) = 15120<BR>\n" );
document.write( "27x - 17010 + 27x = 15120<BR>\n" );
document.write( "27x + 27x = 15120 + 17010<BR>\n" );
document.write( "54x = 32130<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32130%2F54 ALIGN=MIDDLE  ALT=\"32130%2F54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 595 mph plane airspeed<BR>\n" );
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document.write( "Use equation: x + y = 630 to find y<BR>\n" );
document.write( "595 + y = 630<BR>\n" );
document.write( "y = 630-595<BR>\n" );
document.write( "y = 35 mph is the windspeed<BR>\n" );
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document.write( "Check solution in equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F8 ALIGN=MIDDLE  ALT=\"27%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x - y) = 1890:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F8 ALIGN=MIDDLE  ALT=\"27%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >(595 - 35) = 1890<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F8 ALIGN=MIDDLE  ALT=\"27%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >(560) = 1890<BR>\n" );
document.write( "Using a calc:<BR>\n" );
document.write( "1890 = 1890  </SPAN>\n" );
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