SOLUTION: two cars started from the same point. one travels north at 55 mi/h and the other traveled west at 65 mi/h. how far apart were the cars after 3 hours? round to the nearest tenth of

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Question 760345: two cars started from the same point. one travels north at 55 mi/h and the other traveled west at 65 mi/h. how far apart were the cars after 3 hours? round to the nearest tenth of a mile
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The instantaneous destination points and the origination point form a right triangle... rate*time is the distance from the origination point.

%2855%2At%29%5E2%2B%2865%2At%29%5E2=%28rt%29%5E2 where r is the rate at which the cars are separating moving away from each other.

%2855%2At%29%5E2%2B%2865%2At%29%5E2=%28rt%29%5E2
r%5E2%2At%5E2=t%5E2%2855%5E2%2B65%5E2%29
r%5E2=55%5E2%2B65%5E2
r=sqrt%2855%5E2%2B65%5E2%29 miles per hour

That is r=85 miles per hour.
85%2A3=highlight%28255%29 miles