document.write( "Question 183687: If two planes leave the same airport at 1:00 pm, how many miles apart will they be at 3:00pm if one leaves directly north at 150mph and the other travels directly west at 200 mph. \n" ); document.write( "
Algebra.Com's Answer #137874 by halbren(10)\"\" \"About 
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The two planes both left the airport at 1:00pm and it is now 3:00pm. So they have both been flying for 2 hours. The plane flying north is traveling at 150 mph so in 2 hours it has gone 300 miles. The plane flying west is traveling at 200 mph so after 2 hours, it has gone 400 miles. If you connect the endoints of the two planes it makes a right triangle. The distance between them is equal to the hypotenuse. Using the Pythagorean therom \"A%5E2+%2B+B%5E2+=+C%5E2\" we get that \"C%5E2+=+300%5E2+%2B+400%5E2+=+250000\" so \"C+=+sqrt%28250000%29+=+500+miles\". \n" ); document.write( "
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