Final answer:
Tess and Bess are each traveling at a speed of 80 km/h and 65 km/h respectively, as Tess drives 15 km/h faster than Bess and it takes Tess 2.5 hours to cover a distance of 200 km.
Step-by-step explanation:
The question is asking us to find the speeds at which Tess and Bess are traveling separately, with the given information that Tess drives 15km/h faster than Bess and that it takes Tess 2.5 hours to cover 200km to get home. To solve this, we use the formula for average speed, which is distance divided by time. Given that Tess's time to travel 200 km is 2.5 hours, we calculate her speed as follows:
Speed of Tess = 200 km / 2.5 h = 80 km/h.
Since Tess drives 15 km/h faster than Bess, Bess's speed is:
Speed of Bess = Speed of Tess - 15 km/h = 80 km/h - 15 km/h = 65 km/h.
Therefore, Tess is traveling at 80 km/h, and Bess is traveling at 65 km/h.