Two boys are walking towards each other and between them the dog is running around. What path did the dog go during

Two boys are walking towards each other and between them the dog is running around. What path did the dog go during the time during which the distance between the boys decreased from 300 to 100m if the boys’ speeds are 3.5 and 3 km / h and the dogs 10 km / h the dog turns around instantly?

The essence of the task is to find the path that the dog has run in a certain time. It doesn’t matter if she was running in zigzags or in a straight line. To do this, you need to multiply the speed of the dog by the time during which it ran. Since at the same time the boys were getting closer, we find it by dividing the distance that the boys walked by their total speed: (0.3 km – 0.1 km) / (3 km / h + 3.5 km / h) = (approximately) 0, 0308 h. Now we are looking for the path traveled by the dog: 0.0308 h X 10 km / h = 0.308 km = 308 m.