SOLUTION: Two airplanes left the airport at the same time. One was flying to the West, the other one to the South. After 2 hours the distance between them was 2000 miles. Find the speeds of

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Question 1154370: Two airplanes left the airport at the same time. One was flying to the West, the other one to the South. After 2 hours the distance between them was 2000 miles. Find the speeds of the airplanes. The speed of the first plane is 75% of the speed of the second one. Write the equation. Solve, using Quadratic Formula.


Notations: x speed of the second airplane in mph
0.75x speed of the first plane in mph


Hint: Use Pythagoras theorem to find the distance between the airplanes
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You can draw the representative right triangle if you want to.

%282x%29%5E2%2B%282%2A0.75x%29%5E2=2000%5E2-------This uses the Pythagorean Theorem Formula. Now you work from this.
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That IS your quadratic equation, in the chosen variable, x, the speed of the faster airplane. The equation is unsimplified.