# SOLUTION: 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 mp

Algebra ->  Algebra  -> Human-and-algebraic-language -> SOLUTION: 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 mp      Log On

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 Click here to see ALL problems on Human-and-algebraic-language Question 5042: 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? Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Plane A travels due north at 150 mph for 2 hours, it will go 300 miles. Plane B travels due west at 200 mph for 2 hours, it will go 400 miles. Draw the two vectors and you will see that they make two sides of a right triangle. The distance between the two planes at the end of two hours is just the hypotenuse of this triangle. You could use the Pythagorean theorem (c^2 = a^2 + b^2) to find the distance...or you could recognise that 300 and 400 are two of a pythagorean triplet (300, 400, 500) and the third number of this triplet is 500. So, the planes will be 500 miles aprt at the end of two hours.