Final answer:
Dante and Taylor did not run at the same speed. After calculating their speeds as 18 km/h for Dante and 16 km/h for Taylor, we see that Dante ran faster than Taylor.
Step-by-step explanation:
To determine if Dante and Taylor ran at the same speed, we need to calculate the speed for both runners and compare them. Speed is calculated using the formula speed = distance / time. For Dante, his speed would be 3 kilometers / 10 minutes, which can be simplified to 0.3 kilometers per minute (km/min). For Taylor, the speed would be 4 kilometers / 15 minutes, which simplifies to approximately 0.267 km/min.
Converting their speeds to the same unit of time, we can compare their speeds more easily. Since there are 60 minutes in an hour, Dante's speed in km/h is 0.3 km/min × 60 min/h = 18 km/h, and Taylor's speed is 0.267 km/min × 60 min/h = 16 km/h. Therefore, Dante ran faster than Taylor, as 18 km/h is greater than 16 km/h.