document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137397>Question 137397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Any help on this problem would be greatly appreciated! Thank you in advance!\r<BR>\n" );
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document.write( "An air rescue plane averages 300 miles per hour in still air.  It carries enough fuel for 5 hours of flying time.  If, upon takeoff, it encounters a wind of 30 miles per hour, how far can it fly and return safely? ( assume that the wind remains constant).\r<BR>\n" );
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document.write( "Thanks to anyone who can provide help on this one! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100533 by </B><A HREF=/tutors/aboutme.mpl?userid=dolly><B>dolly(163)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dolly><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=100533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Let the distance covered be = x miles.<BR>\n" );
document.write( "Speed of the plane = 300 mph<BR>\n" );
document.write( "Speed of wind = 30 mph<BR>\n" );
document.write( "So relative speed while going against the wind = 300 - 30 = 270 mph\r<BR>\n" );
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document.write( "Thus time taken for covering x miles = distance/rate<BR>\n" );
document.write( "                                     = x/270  hrs\r<BR>\n" );
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document.write( " relative speed while retuning alongwith the wind = 300 + 30 = 330 mph<BR>\n" );
document.write( "Thus time taken for returning x miles = distance/rate<BR>\n" );
document.write( "                                     = x/330  hrs\r<BR>\n" );
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document.write( "Given the total time taken = 5 hrs\r<BR>\n" );
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document.write( "Thus x/270  + x/330 = 5\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811x%2B9x%29%2F%282970%29 ALIGN=MIDDLE  ALT=\"%2811x%2B9x%29%2F%282970%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "[taking 2970 as the common denominator]\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820x%29%2F%282970%29 ALIGN=MIDDLE  ALT=\"%2820x%29%2F%282970%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "==> 20x = 5 * 2970<BR>\n" );
document.write( "==> x = 742.5<BR>\n" );
document.write( "==> one way the distance = 742.5 miles<BR>\n" );
document.write( "So 2 way the distance = 1485 miles.\r<BR>\n" );
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document.write( "Thus the plane can safely fly 1485 miles and return with its fuel availability.\r<BR>\n" );
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document.write( "Good luck!!!\r<BR>\n" );
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document.write( "dolly\r<BR>\n" );
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document.write( " </SPAN>\n" );
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