A huntress and her dog set off on a trip towards a hut that is 2 km away. The dog races ahead at 4 m/s (twice the speed of the huntress), reaches the hut, turns around and comes back to her.

a) How far along the trail do they first meet? (in metres)

b) After how long do they meet? (in minutes)

c) The dog keeps running back and forth along the trail between the hut and his companion until she arrives at the hut. How far in total does the dog travel? (in metres)