document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162056>Question 162056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help! <BR>\n" );
document.write( "A plane carries enough fuel for 10 hours of flight at an airspeed of 150 miles per hour. How far can it fly into a 30 mph headwind and still have enough fuel to return to its starting point? (This distance is called the point of no return.)<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 #119439 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=119439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane carries enough fuel for 10 hours of flight at an airspeed of 150 miles per hour. How far can it fly into a 30 mph headwind and still have enough fuel to return to its starting point? (This distance is called the point of no return.)<BR>\n" );
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document.write( "This assumes that the return will be going with the wind<BR>\n" );
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document.write( "Let d = distance into the wind<BR>\n" );
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document.write( "Speed against the wind: 150 - 30 = 120 mph<BR>\n" );
document.write( "Speed with the wind: 150 + 30 = 180 mph<BR>\n" );
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document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Time into the wind + time with the wind = 10 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F120 ALIGN=MIDDLE  ALT=\"d%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F180 ALIGN=MIDDLE  ALT=\"d%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10<BR>\n" );
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document.write( "Multiply equation by 360 to get rid of the denominators:<BR>\n" );
document.write( "360*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F120 ALIGN=MIDDLE  ALT=\"d%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 360*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F180 ALIGN=MIDDLE  ALT=\"d%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 360(10)<BR>\n" );
document.write( "Cancel denominators<BR>\n" );
document.write( "3d + 2d = 3600<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3600%2F5 ALIGN=MIDDLE  ALT=\"3600%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 720 mi to the point of no return<BR>\n" );
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document.write( "Check solution by find the times<BR>\n" );
document.write( "720/120 = 6 hr<BR>\n" );
document.write( "720/180 = 4 hr<BR>\n" );
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document.write( "endurance 10 hrs<BR>\n" );
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