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 )
-----------------------
Now find the sides of the right triangle in terms of
Shorter side:
km
Longer side:
km
------------------
The hypotenuse of the right triangle is given as:
km
Use Pythagoerean theorem:
complete the square:
ans
---------------
The speed of the slower vehicle is 12 km/hr
The speed of the faster vehicle is 16 km/hr
---------------
check:
OK
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