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I have this problem that I can't seem to figure out. I'm taking physics in French but I will try my best to translate it.

At an instant, two cars, A and B, are 10km away from an intersection of two perpendicular roads. Car A is moving towards the East and has a speed of 30km/h whereas car B is moving towards the North at 50km/h (both of them are heading towards the intersection). Determine (a) the distance at the moment where they are the closest to one another; (b) where A and B are located when the distance is minimal?

I already have the answers but I just can't seem to figure out how to get to it.

(a) = 3.42km

(b) = B is 1.75km N and A is 2.95km W of the intersection

Any idea on how to figure this out? I was thinking to use the pythagorean theorem to find the velocity [ (30^2 + 50^2)^1/2 = 58km/h ] and then use that to find the time or something like that. I guess I don't know how to approach this type of problem. Any help would be appreciated!

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# Homework Help: Two cars approaching an intersection

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