Final answer:
The skier's speed on the first slope is faster compared to the second slope because the gradient of the first slope is greater.
Step-by-step explanation:
The speed of the skier on each slope can be determined by using the formula speed = gradient x distance. For the first slope with a gradient of -3, if we assume the distance is 1, then the speed on the first slope would be -3 x 1 = -3 m/s. Similarly, for the second slope with a gradient of -1/3, if we assume the distance is 1, then the speed on the second slope would be -1/3 x 1 = -1/3 m/s. Therefore, the skier's speed on the first slope is faster compared to the second slope.