Two cable ferries start moving towards each other from shores A and B. When the pass each other for the first time the distance
to shore B is 100 meters. Once they reach their destinations and start traveling back at the same time. When they meet for the second time, the distance to shore A is 50 meters. What is the distance between the shores Aand B?
As there is no information about the speed of the ferries, we can infer that they move at the same speed. Therefore, we can say that they cross each other at the same point both on their way and on their way back. Since the "meeting point" is on a streight line in between the two shores, 100 meters from shore B and 50 meters from shore A, the distance between shore A and B will be 100 + 50 = 150 meters.
Hence, the distance between shores A and B is 150 meters.
I'm going to be honest the question is a little confusing cause of the beginning, but if you're looking for which angles are actually congruent it's ∠GAC ≅ ∠HFD
