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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?

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? Correct Answer 500 miles

The paths of the planes create right triangle, with the distance between them equaling the hypotenuse of the triangle. The distance of the first plane from the airport at 3:00 PM (2 hours after departure) is 2 x 150 = 300. The distance of the second plane from the airport at 3:00 PM (2 hours after departure) is 2 x 200 = 400. Thus, the distance between the two planes is 500, (since we have a 300 - 400 - 500 right triangle.) 

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