Zilean's Story. Zilean, an omniscient being, witnessed the lives of three creatures namely Ezreal, Lux, and Zoe. Lux has been communicating with Ezreal for a long time through the Internet. One time, Zoe, Lux's roommate, learned about this. While Lux was sleeping, Zoe used Lux's laptop to talk to Ezreal. Zoe managed to make Ezreal to meet her (as Lux). Assume a 1-dimensional space problem. Ezreal lived 9 [m] to the right of Lux and Zoe's dorm room and their meeting place is 2 [m] to the left of Ezreal's residence. Story time. Ezreal left his house and went to the meeting place at a speed of 0.25. Zoe, at the same time Ezreal left, tried to go to the meeting place but Zoe doesn't know where to go. First, Zoe walked at a velocity of -0.25 for 4 [m] of time. Then, Zoe used a map and realized she went the other way. Zoe now ran at a speed of 0.8 towards the meeting place. Lux woke up and learned their conversation around 6 [m] of time. In fury, Lux used her special equipment to travel at a speed of light to the meeting place. Draw the world lines of the three creatures with respect to Zilean. Who came first to the meeting place: Lux or Zoe? What is the time elapsed on Ezreal's wristwatch when he met the first person? What are the time elapsed on Lux's and Zoe's wristwatches when they arrived to the meeting place. Assume that Lux is sleeping in the dorm room before 6 [m] of time. Set all clocks to be zero when Ezreal left his house. (a square has a dimension of 1 [m2]) Dorm room