document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331440>Question 331440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph? \r<BR>\n" );
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document.write( "I try the following but did not get the correct solution:\r<BR>\n" );
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document.write( "Plane A travels North 150 mph and Plane B travels West at 200 mph.\r<BR>\n" );
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document.write( "From 1:00 PM to 3:00 PM--> Plane A has traveled for two hours (150 + 150) = 300<BR>\n" );
document.write( "Plane B has traveled for two hours (200 + 200) = 400\r<BR>\n" );
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document.write( "So, 400 - 300 = 100 miles apart?\r<BR>\n" );
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document.write( "Or is it a pythagoream problem...using the a^2 + b^2 = c^2 which would be \r<BR>\n" );
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document.write( "150^2 + b^2 = 300^2\r<BR>\n" );
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document.write( "= 22500 + b^2 = 90000<BR>\n" );
document.write( "= b^2 = 9000-22500<BR>\n" );
document.write( "= b^2 = 67500<BR>\n" );
document.write( "= b = square root of 67500 <BR>\n" );
document.write( "which would be 259.8 miles apart\r<BR>\n" );
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document.write( "or could it be the following...\r<BR>\n" );
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document.write( "Plane A is 50 miles behind which means Plane B is 50 miles ahead...<BR>\n" );
document.write( "so Plane B will be 100 miles ahead and that gives me 150 + 200 + 150 = 500 miles apart? \r<BR>\n" );
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document.write( "If so, is there a quicker way of finding it using an equation? Or can you answer it in a more simpler way?<BR>\n" );
document.write( "                            </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237554 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=237554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph? <BR>\n" );
document.write( "I try the following but did not get the correct solution: <BR>\n" );
document.write( "Plane A travels North 150 mph and Plane B travels West at 200 mph. <BR>\n" );
document.write( "From 1:00 PM to 3:00 PM--> Plane A has traveled for two hours (150 + 150) = 300<BR>\n" );
document.write( "Plane B has traveled for two hours (200 + 200) = 400 <BR>\n" );
document.write( "So, 400 - 300 = 100 miles apart? <BR>\n" );
document.write( "Or is it a pythagoream problem...using the a^2 + b^2 = c^2 which would be <BR>\n" );
document.write( "150^2 + b^2 = 300^2 <BR>\n" );
document.write( "= 22500 + b^2 = 90000<BR>\n" );
document.write( "= b^2 = 9000-22500<BR>\n" );
document.write( "= b^2 = 67500<BR>\n" );
document.write( "= b = square root of 67500<BR>\n" );
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document.write( "It can be solved using Pythagoras, but the distance is the hypotenuse.  <BR>\n" );
document.write( "You solved for one of the legs.<BR>\n" );
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document.write( "c^2 = 300^2 + 400^2<BR>\n" );
document.write( "c = 500 miles<BR>\n" );
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document.write( "which would be 259.8 miles apart <BR>\n" );
document.write( "or could it be the following... <BR>\n" );
document.write( "Plane A is 50 miles behind which means Plane B is 50 miles ahead...<BR>\n" );
document.write( "so Plane B will be 100 miles ahead and that gives me 150 + 200 + 150 = 500 miles apart? <BR>\n" );
document.write( "If so, is there a quicker way of finding it using an equation? Or can you answer it in a more simpler way?<BR>\n" );
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