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Question
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?
50 miles
100 miles
500 miles
700 miles
None of these
ANSWER : 3
Descrption
<p>The paths of the planes create right triangle, with the distance between them equaling the hypotenuse of the triangle.</p> <p>The distance of the first plane from the airport at 3:00 PM (2 hours after departure) is 2 x 150 = 300.</p> <p>The distance of the second plane from the airport at 3:00 PM (2 hours after departure) is 2 x 200 = 400.</p> <p>Thus, the distance between the two planes is 500, (since we have a 300 - 400 - 500 right triangle.) </p>
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