SOLUTION: Two vehicles leave the same corner at the same time and travel at a right angle to each other. One vehicle travels 4 kilometers an hour faster than the other. If after one hour the
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Question 993681: Two vehicles leave the same corner at the same time and travel at a right angle to each other. One vehicle travels 4 kilometers an hour faster than the other. If after one hour the vehicles are 20 kilometers apart, find the rate of each vehicle.
How would I set up this problem? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the speed of the slower vehicle in km/hr km/hr = the speed of the faster vehicle in km/hr hr ( given )
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Now find the sides of the right triangle in terms of
Shorter side: km
Longer side: km
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The hypotenuse of the right triangle is given as: km
Use Pythagoerean theorem:
complete the square:
ans
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The speed of the slower vehicle is 12 km/hr
The speed of the faster vehicle is 16 km/hr
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check:
OK