Two roads intersect at point P at an angle of 120◦
, as shown in the figure. Car X is driving
from P towards A, and car Y is driving from P towards B. At a particular time, car X is 10
kilometers from P and traveling at 60 km/hr, while car Y is 12 kilometers from P and traveling
at 80 km/hr. How fast is the distance between the two cars changing?
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