During the Labor Day weekend, Amy and Kathleen each ran in a race. Amy ran in a 5K and completed it in 31 minutes and 15 seconds. Kathleen ran in a half-marathon, which is 21.1 kilometers, and completed it in 2 hours, 11 minutes, and 52.5 seconds.
Let d represent distance in kilometers, r represent the rate, and t represent time in minutes. The proportional relationship
________ can be used to determine the speed at which Amy and Kathleen ran their respective races. Using Amy's distance and time, the proportional relationship___________ can be used to determine her rate. Using Kathleen's distance and time, the proportional relationship____________ can be used to determine her rate. Based on the actual rates that they ran during their respective races, Amy ran at _______Kathleen.
The proportional relationship that can be used to determine the speed at which Amy and Kathleen ran their respective races is:
Speed = Distance / Time
Using Amy's distance and time, the proportional relationship that can be used to determine her rate is:
Amy's Speed = 5K / 31.25 minutes
Using Kathleen's distance and time, the proportional relationship that can be used to determine her rate is:
Kathleen's Speed = 21.1K / 2 hours and 11 minutes
Based on the actual rates that they ran during their respective races, Amy ran at a faster rate than Kathleen.