Question 545700: if two planes leave the same airport at 1:00pm, how many miles apart from each other will they be at 3:00 pm if one travels directly north at 150mph and the other travels directly west at 200 mph?
Found 2 solutions by smmoore, MathTherapy:
Answer by smmoore(10)   (Show Source):
You can put this solution on YOUR website! x:# of hours the north plane travels y:# of hours the west plane travels
the equation is... 150x+200y=? miles
then substitute the x and y for 2 which is the number of hours between 1 and 3pm.
150(2)+200(2)=?
300+400=?
700=?
the answer to the problem is 700 miles
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! if two planes leave the same airport at 1:00pm, how many miles apart from each other will they be at 3:00 pm if one travels directly north at 150mph and the other travels directly west at 200 mph?
As this scenario forms a right triangle, the value of the hypotenuse of the right triangle will be the distance between the two planes, 2 hours after they left the airport
As seen, the legs are 300 (150 * 2) miles, and 400 (200 * 2) miles. As this represents a special triangle (3,4,5 triangle), the hypotenuse of the right triangle, or the distance between the 2 planes will be 500 miles, OR
With H being the hypotenuse or the distance between them, we get: 
H =  miles, or - 500 (ignore)
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