If you did not follow the path 1 and you are just leaving the apartment, just go outside the building, walk left and at the corner (Piraeus Bank) take again left. Then you walk straight for almost 5 min, (you will walk towards the hill), you will reach the parking of Arvanitia beach (click here for the location) which is the end of the path 1.

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and if we zoom in:

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You will arrive at the parking area. Then you have to take the small path (path 2) which connects Arvanitia beach to Karathona beach.

The path will look like:

Usually it takes 20 to 30 minutes to reach the Karathona beach. It is a very nice path and while you are walking, you will be able to see many small hidden beaches that usually people do not know – where you can swim!