document.write( "Question 166869: 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? \n" ); document.write( "
Algebra.Com's Answer #122927 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
\n" ); document.write( "Both planes travel for two hours
\n" ); document.write( "Distance the north plane travels=150*2=300 mi
\n" ); document.write( "Distance the west plane travels=200*2=400 mi
\n" ); document.write( "Now we know that the distance apart of these two planes is simply the hypotenuse of a right triangle with with legs 300 and 400 mi respectively
\n" ); document.write( "which is immediately recognized as a 3 4 5 right triangle, so the distance apart is 500 mi\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "300^2+400^2=D^2
\n" ); document.write( "90000+160000=D^2
\n" ); document.write( "250000=D^2 take sqrt of each side
\n" ); document.write( "D=+or- 500 mi disregard the negative value for D\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor
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